Chapter 1.

1.1 Problem Statement

{4,6}
{5,7,9}
2*$a
$a-1
$b-2

Use the Chain Rule to find the derivative of

1.2 Step 1

The given function can be expressed as the composition º where (referred to as the "outside" function) and (referred to as the "inside" function).

Question Sequence

Question 1.1

Recall the chain rule for differentiating º.

ºwwpUW/zBADCnWo4WIm9e7jcLal52CpdT6Zbklg==

Incorrect
Correct

Question 1.2

In other words, the chain rule states that the derivative of the composition of functions h and g is the derivative of the outside function evaluated at the 9F4CWyz+4X3TuYfu7Uvfp3tOG9U= function times the derivative of the 9F4CWyz+4X3TuYfu7Uvfp3tOG9U= function.

Incorrect
Correct

1.3 Step 2

Now in order to use the chain rule, we need h'(u) evaluated at g(x) and we need g'(x).

Question Sequence

Question 1.3

Find h'(u) and evaluate it at g(x).

a = XvVM00l89Is= and b = s0a3+lanu0A=

Incorrect
Correct

Question 1.4

c = nc1ItEz0kR4= and d = 607M7xmPORU=

Incorrect
Correct

Question 1.5

Find g'(x).

j = nc1ItEz0kR4= and k = XvVM00l89Is=

Incorrect
Correct

1.4 Step 3

Substitute and appropriately in the chain rule to find the derivative of º where and .

Question 1.6

º

m = V3jQIK3TPW4=, n = iSba6t70dtA= and p = s0a3+lanu0A=

Correct.
Incorrect.