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

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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

$\frac{5}{3х-7}$

$\frac{35}{\left(3х-5\right)}$

- $\frac{21}{\left(3х-5\right)^2}$

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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)=

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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)=

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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