Chapter 1.

1.1 Problem Statement

{4,6}

$b+3

$a*$b

Calculate the derivative of .

1.2 Step 1

Question 1.1

Since f(x) is the product of two functions and , the derivative will require the lvnIotyyNuv6GNoODeMfo8Ww1wyZf9xlYQ/Ix5AMl4XwtZ/5 rule.

Correct.

Incorrect.

1.3 Step 2

Question 1.2

Recall the product rule for computing derivatives.

If and g and h are differentiable functions, then

EWOwuPs0o7Ykkf6DQC9fhqsLZ4iemklSjF/u9Q==EWOwuPs0o7Ykkf6DQC9fhqsLZ4iemklSjF/u9Q==.

Correct.

Incorrect.

1.4 Step 3

Let where and .

Find and .

Question Sequence

Question 1.3

,

where n = 4l9ygzeh30ONkGnJm5zCuwaOo6NEpZdn.

Incorrect

Correct

Question 1.4

,

where n = Vej/affaSIfzzAL7gD8Cv8hub1zpTvpS.

Incorrect

Correct

1.5 Step 4

Substitute and appropriately in the product rule to calculate the derivative of .

Question Sequence

Question 1.5

VTvXqRIOq1XlSHSH+YW6Oo8R0W732IFL wsIDk371wjUyBSGO+uR7xLryRy+J5k9X

Correct.

Incorrect.

Question 1.6

GmyMvRJDUTyDvbRd vPpVmOhgBszMSg7K

Correct.

Incorrect.

Question 1.7

cpphv0d4AJyx86zMbcaFsM6oxnPJAHwa

Correct.

Incorrect.

1.6 Step 5

Another (easier) way of differentiating f(x) is to first multiply using FOIL and simplfy.

Question Sequence

Question 1.8

hlF2UPykPxE=

Correct.

Incorrect.

Question 1.9

Thus,

cpphv0d4AJyx86zMbcaFsM6oxnPJAHwa

Correct.

Incorrect.