### All High School Math Resources

## Example Questions

### Example Question #1 : Derivatives

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 #4 : 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 : Understanding L'hospital's Rule

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:

Michael

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### All High School Math Resources

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