Problem Statement
{4,6}
4+3
7*4
Calculate the derivative of .
Step 1
Question 1
Since f(x) is the product of two functions and
, the derivative will require the rule.
Correct.
Incorrect.
Step 2
Question 2
Recall the product rule for computing derivatives.
If and g and h are differentiable functions, then
.
Correct.
Incorrect.
Step 3
Let where
and
.
Find and
.
Question Sequence
Question 3
,
where n = .
Incorrect
Correct
Step 4
Substitute and
appropriately in the product rule to calculate the derivative of
.
Question Sequence
Question 5
Correct.
Incorrect.
Step 5
Another (easier) way of differentiating f(x) is to first multiply using FOIL and simplfy.
Question Sequence
Question 8
Correct.
Incorrect.