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Example Questions
Example Question #291 : Computation Of The Derivative
Find the derivative of .
Take the derivative of each term.
Add them:
Example Question #292 : Computation Of The Derivative
Find the derivative of .
There are two ways to solve this problem.
First, you can use a trig identity to replace with
. Using the chain rule,
.
Alternatively, you could use the product rule.
Since , our final answer is still
.
Example Question #293 : Computation Of The Derivative
Find the derivative of .
For this problem, we need to use the quotient rule.
Simplifying:
Example Question #461 : Derivatives
Find the derivative of
None of the other answers
Product rule states:
Therefore:
Example Question #471 : Derivatives
Use the chain rule to differentiate the following function:
By the chain rule:
Differentiate using the product rule:
Substitute this derivative for in the first equation:
Factor the equation:
Example Question #771 : Ap Calculus Ab
Find .
is undefined.
Therefore:
Example Question #1 : Finding Second Derivative Of A Function
Let .
Find the second derivative of .
The second derivative is just the derivative of the first derivative. So first we find the first derivative of . Remember the derivative of
is
, and the derivative for
is
.
Then to get the second derivative, we just derive this function again. So
Example Question #2 : Finding Second Derivative Of A Function
Define .
What is ?
Take the derivative of
, then take the derivative of
.
Example Question #662 : Derivatives
Define .
What is ?
Take the derivative of
, then take the derivative of
.
Example Question #663 : Derivatives
Define .
What is ?
Rewrite:
Take the derivative of
, then take the derivative of
.
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