Chain Rule Lesson Slides: 6 Slides (Grade 12)

6 Slides • 5 Questions

1

The
Chain Rule

2

The Chain Rule of Differentiation

Taking the derivative of a composite function.

3

Ex: f(x) = (3x + 1)²

4

Ex: f(x) = (x² + 5)⁴

5

6

Math Response

Find the derivative of the following:

$y=2\left(4x-7\right)^3$

Type answer here

Deg^°

Rad

7

Math Response

Find the derivative of the following:

$f\left(x\right)=\frac{1}{\sqrt[3]{5x-3}}$

Type answer here

Deg^°

Rad

8

Math Response

Evaluate:

$f\left(x\right)=2x\sqrt[]{1-x}$

Find f'(-3)

Type answer here

Deg^°

Rad

9

Find f'(4) given the following:

g(4) = 4 & g'(4) = -2
h(4) = 9 & h'(4) = 5

Find: f(x) = (g(x))²

10

Math Response

Find f'(4) given the following:

g(4) = 4 & g'(4) = -2

h(4) = 9 & h'(4) = 5

$f\left(x\right)=\sqrt[]{h\left(x\right)}$

Type answer here

Deg^°

Rad

11

Math Response

Find f'(4) given the following:

g(4) = 4 & g'(4) = -2

h(4) = 9 & h'(4) = 5

$f\left(x\right)=h\left(g\left(x\right)\right)$

Type answer here

Deg^°

Rad

The
Chain Rule

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