Найдите производную: f(x)= 5 x − 1 \sqrt{5x-1} 5 x − 1 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z">

5 2 5 x − 1 \frac{5}{2\sqrt{5x-1}} 2 5 x − 1 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z"> 5

2 5 5 x − 1 \frac{2}{5\sqrt{5x-1}} 5 5 x − 1 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z"> 2

- 5 2 5 x − 1 \frac{5}{2\sqrt{5x-1}} 2 5 x − 1 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z"> 5

- 2 5 5 x − 1 \frac{2}{5\sqrt{5x-1}} 5 5 x − 1 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z"> 2

Найдите производную функции f ( x ) = x 3 x f\left(x\right)=x\sqrt{3x} f ( x ) = x 3 x <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z">

f , ( х ) = 3 2 3 х f^,\left(х\right)=\frac{3}{2}\sqrt{3х} f , ( х ) = 2 3 3 х <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z">

f , ( х ) = 7 6 2 х f^,\left(х\right)=\frac{7}{6}\sqrt{2х} f , ( х ) = 6 7 2 х <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z">

f , ( х ) = 1 2 3 х f^,\left(х\right)=\frac{1}{2\sqrt{3х}} f , ( х ) = 2 3 х <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z"> 1

f , ( х ) = 3 2 3 х f^,\left(х\right)=\frac{3}{2\sqrt{3х}} f , ( х ) = 2 3 х <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z"> 3

Найти производную функции у = ( 2 х − 5 ) 15 у=\left(2х-5\right)^{15} у = ( 2 х − 5 ) 1 5

у , = 30 ( 2 х − 5 ) 14 у^,=30\left(2х-5\right)^{14} у , = 3 0 ( 2 х − 5 ) 1 4

у , = 15 ( 2 х − 5 ) 14 у^,=15\left(2х-5\right)^{14} у , = 1 5 ( 2 х − 5 ) 1 4

у , = ( 2 х − 5 ) 14 у^{,\ }=\left(2х-5\right)^{14} у , = ( 2 х − 5 ) 1 4

у , = − 30 ( 2 х − 5 ) 14 у^,=-30\left(2х-5\right)^{14} у , = − 3 0 ( 2 х − 5 ) 1 4

Найти производную функции y = 2 cos ⁡ x − sin ⁡ 2 x y=2\cos x-\sin2x y = 2 cos x − sin 2 x

y , = − 2 sin ⁡ x − 2 cos ⁡ 2 x y^,=-2\sin x-2\cos2x y , = − 2 sin x − 2 cos 2 x

y , = 2 sin ⁡ x + cos ⁡ 2 x y^,=2\sin x+\cos2x y , = 2 sin x + cos 2 x

y , = − 2 sin ⁡ x − cos ⁡ 2 x y^,=-2\sin x-\cos2x y , = − 2 sin x − cos 2 x

y , = 2 sin ⁡ x + 2 cos ⁡ 2 x y^,=2\sin x+2\cos2x y , = 2 sin x + 2 cos 2 x

Найти производную функции f(x) = e − 5 x e^{-5x} e − 5 x

− 5 e − 5 x -5e^{-5x} − 5 e − 5 x

− 5 x e − 5 x -5xe^{-5x} − 5 x e − 5 x

Найти производную функции f(x) = 3 e 4 x + 1 3e^{4x+1} 3 e 4 x + 1

12 e 4 x + 1 12e^{4x+1} 1 2 e 4 x + 1

3 e 4 x + 1 3e^{4x+1} 3 e 4 x + 1

3 ( 4 x + 1 ) e 4 x 3\left(4x+1\right)e^{4x} 3 ( 4 x + 1 ) e 4 x

Найти производную функции f(x) = 2 x + 5 2^x+5 2 x + 5

x ⋅ 2 x − 1 x\cdot2^{x-1} x ⋅ 2 x − 1

Найти производную функции f(x) = x ⋅ 3 x x\cdot3^x x ⋅ 3 x

3 x ( 1 + x ln ⁡ 3 ) 3^x\left(1+x\ln3\right) 3 x ( 1 + x ln 3 )

1 + 3 x ln ⁡ 3 1+3^x\ln3 1 + 3 x ln 3

3 x ( 1 + x ) 3^x\left(1+x\right) 3 x ( 1 + x )

Найти производную функции f(x) = ln ⁡ ( 2 x + 1 ) \ln\left(2x+1\right) ln ( 2 x + 1 )

2 2 x + 1 \frac{2}{2x+1} 2 x + 1 2

1 2 x + 1 \frac{1}{2x+1} 2 x + 1 1

2 ( 2 x + 1 ) ln ⁡ 2 \frac{2}{\left(2x+1\right)\ln2} ( 2 x + 1 ) ln 2 2

2 ln ⁡ ( 2 x + 1 ) 2\ln\left(2x+1\right) 2 ln ( 2 x + 1 )

Производная

Authored by Olga Plekhanova

Mathematics

11th Grade

CCSS covered

Used 27+ times

AI Actions

Add similar questions

Adjust reading levels

Convert to real-world scenario

Translate activity

More...

Content View

Student View

31 questions

Show all answers

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Найдите производную: f(x)= -1.2

1.2

нет правильного ответа

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Найдите производную: f(x)=х⁵

5х⁴

5х

х⁴

4х⁴

MULTIPLE CHOICE QUESTION

$\frac{5}{3х-7}$

$\frac{35}{\left(3х-5\right)}$

- $\frac{21}{\left(3х-5\right)^2}$

Access all questions and much more by creating a free account

Create resources

Host any resource

Get auto-graded reports

Continue with Google

Continue with Email

Continue with Classlink

Continue with Clever

or continue with

Microsoft

Apple

Others

Already have an account?

Similar Resources on Wayground

26 questions

Math I Mod 12 Inequalities

Quiz

•

9th - 12th Grade

26 questions

Probability Under the Normal Distribution

Quiz

•

10th - 12th Grade

26 questions

Inequality Practiced

Quiz

•

9th - 12th Grade

26 questions

Solving Quadratics by Graphing, Factoring, and Square Root Methods

Quiz

•

11th Grade

27 questions

Piecewise Functions Vocabulary

Quiz

•

9th - 12th Grade

27 questions

Circle as Angles

Quiz

•

9th - 12th Grade

27 questions

Solving Quadratics with Difference of Squares

Quiz

•

9th - 12th Grade

26 questions

Solving Inequalities Is It A Solution

Quiz

•

9th - 12th Grade

Popular Resources on Wayground

10 questions

5.P.1.3 Distance/Time Graphs

Quiz

•

5th Grade

10 questions

Fire Drill

Quiz

•

2nd - 5th Grade

20 questions

Equivalent Fractions

Quiz

•

3rd Grade

22 questions

School Wide Vocab Group 1 Master

Quiz

•

6th - 8th Grade

20 questions

Main Idea and Details

Quiz

•

5th Grade

20 questions

Context Clues

Quiz

•

6th Grade

20 questions

Inferences

Quiz

•

4th Grade

12 questions

What makes Nebraska's government unique?

Quiz

•

4th - 5th Grade

Discover more resources for Mathematics

10 questions

Factor Quadratic Expressions with Various Coefficients

Quiz

•

9th - 12th Grade

19 questions

Explore Probability Concepts

Quiz

•

7th - 12th Grade

43 questions

STAAR WEEK 1

Quiz

•

9th - 12th Grade

11 questions

Solving Quadratic Equations by Factoring

Quiz

•

9th - 12th Grade

20 questions

Solving quadratics using square roots

Quiz

•

11th Grade

10 questions

Trigonometric Ratios

Quiz

•

9th - 11th Grade

20 questions

SSS/SAS

Quiz

•

9th - 12th Grade

6 questions

Equations of Circles

Quiz

•

9th - 12th Grade

Производная

Найдите производную: f(x)= -1.2

Найдите производную: f(x)=х⁵

Найдите производную: f(x)=-6х

Найдите производную: f(x)= -2х⁷

Найдите производную: f(x)=sin 4x

Найдите производную: f(x)= $\sqrt{5x-1}$

Найдите производную: f(x)=х(х²-1)

Найдите производную: f(x)= $\frac{7}{\left(3х-5\right)}$

f'(5) при f(x)=x²

Если f(x)=75x+65 , то f'(x)=

Access all questions and much more by creating a free account

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

Производная

Найдите производную: f(x)= -1.2

Найдите производную: f(x)=х5

Найдите производную: f(x)=-6х

Найдите производную: f(x)= -2х7

Найдите производную: f(x)=sin 4x

Найдите производную: f(x)= 5x−1\sqrt{5x-1}5x−1​

Найдите производную: f(x)=х(х2-1)

Найдите производную: f(x)= 7(3х−5)\frac{7}{\left(3х-5\right)}(3х−5)7​

f'(5) при f(x)=x2

Если f(x)=75x+65 , то f'(x)=

Access all questions and much more by creating a free account

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

Найдите производную: f(x)=х⁵

Найдите производную: f(x)= -2х⁷

Найдите производную: f(x)= $\sqrt{5x-1}$

Найдите производную: f(x)=х(х²-1)

Найдите производную: f(x)= $\frac{7}{\left(3х-5\right)}$

f'(5) при f(x)=x²