High School Math : Derivatives

Study concepts, example questions & explanations for High School Math

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Example Questions

Example Question #2181 : High School Math

Find the second derivative of f(x).

 

Possible Answers:

Correct answer:

Explanation:

First we should find the first derivative of . Remember the derivative of is and the derivative of is  :

 

The second derivative is just the derivative of the first derivative:

 

 

 

Example Question #3 : Understanding The Derivative Of Trigonometric Functions

Find the derivative of the function

.

Possible Answers:

Correct answer:

Explanation:

We can use the Chain Rule:

Let , so that .

 

Example Question #1 : New Concepts

Evaluate the following limit:

Possible Answers:

Correct answer:

Explanation:

When  approaches 0 both  and  will approach . Therefore, L’Hopital’s Rule can be applied here. Take the derivatives of the numerator and denominator and try the limit again:

 

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