Find the derivative of the function f ( x ) = 2 x 4 - 3 x 3 - 7 x 2 + 3 x - 7.

f ' (x) = 8x 4 - 9x 3 - 14x 2 +3x

Find the derivative: f(x) = (tan x)(sin x)

f'(x) = sec 2 x cos x - tan x sin x

f'(x) = tan x sin x + sec 2 x cosx

f'(x) = -tan x sin x + cos x sec 2 x

Differentiate: f(x) = x 7 (5 + 8x) 3

f '(x) = x 6 (5 + 8x) 2 (35 + 80x)

f '(x) = x 2 (5 + 8x) 6 (35 + 80x)

f '(x) = 8x 7 (5 + 8x) 2 (35 + 80x)

f '(x) = x 6 (5 + 8x) 3 (35 + 80x)

Find d y d x \frac{dy}{dx} d x d y . y = 1 4 − 3 x y=\frac{1}{\sqrt{4-3x}} y = 4 − 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"> 1

− 3 4 − 3 x -\frac{3}{\sqrt{4-3x}} − 4 − 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"> 3

1 2 ( 4 − 3 x ) 3 2 \frac{1}{2\left(4-3x\right)^{\frac{3}{2}}} 2 ( 4 − 3 x ) 2 3 1

1 2 4 − 3 x \frac{1}{2}\sqrt{4-3x} 2 1 4 − 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">

3 ( 4 − 3 x ) 3 2 \frac{3}{\left(4-3x\right)^{\frac{3}{2}}} ( 4 − 3 x ) 2 3 3

Derivatives and Limits Review 3 - SHS

Authored by Sherri Smith

Mathematics

11th - 12th Grade

CCSS covered

Used 6+ times

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30 questions

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MULTIPLE CHOICE QUESTION

1 min • 1 pt

Differentiate y = (x³- 1)¹⁰⁰

300x²(x³- 1)⁹⁹

99(x³- 1)⁹⁸

100(x³- 1)⁹⁹

100(3x²)⁹⁹

none of these

MULTIPLE CHOICE QUESTION

1 min • 1 pt

not defined

doesn't exist

Find tthe slope of the line tangent to the graph of y = x³ - 3 at (-2, -11).

none of these

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Use the derivative rules to find the derivative of the function f(x) = (3x - 4)²

f '(x) = 12x - 16

f '(x) = 9

f '(x) = 18x - 24

f '(x) = 6x - 8

none of these

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Find the derivative of the function f (x) = 2x⁴ - 3x³ - 7x² + 3x - 7.

f ' (x) = 2x³ - 3x² - 7x +3

f ' (x) = 4x³ - 3x² - 2x +1

f ' (x) = 8x³ - 9x² - 14x +3

f ' (x) = 8x⁴ - 9x³ - 14x² +3x

none of these

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Find using Chain Rule $y=2\left(2x-3\right)^2$

4(2x-3)

8(2x-3)

6(2x-3)

3(2x-3)

none of these

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Derivatives and Limits Review 3 - SHS

Differentiate y = (x³- 1)¹⁰⁰

Find tthe slope of the line tangent to the graph of y = x³ - 3 at (-2, -11).

Use the derivative rules to find the derivative of the function f(x) = (3x - 4)²

Find the derivative of the function f (x) = 2x⁴ - 3x³ - 7x² + 3x - 7.

Find using Chain Rule $y=2\left(2x-3\right)^2$

What is the limit?

Find the limit of the function as x approaches 2 from the right.

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Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

Derivatives and Limits Review 3 - SHS

Differentiate y = (x3 - 1)100

Find tthe slope of the line tangent to the graph of y = x3 - 3 at (-2, -11).

Use the derivative rules to find the derivative of the function f(x) = (3x - 4)2

Find the derivative of the function f (x) = 2x4 - 3x3 - 7x2 + 3x - 7.

Find using Chain Rule y=2(2x−3)2y=2\left(2x-3\right)^2y=2(2x−3)2

What is the limit?

Find the limit of the function as x approaches 2 from the right.

Access all questions and much more by creating a free account

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

Differentiate y = (x³- 1)¹⁰⁰

Find tthe slope of the line tangent to the graph of y = x³ - 3 at (-2, -11).

Use the derivative rules to find the derivative of the function f(x) = (3x - 4)²

Find the derivative of the function f (x) = 2x⁴ - 3x³ - 7x² + 3x - 7.

Find using Chain Rule $y=2\left(2x-3\right)^2$