### All High School Math Resources

## Example Questions

### Example Question #1 : Understanding The Derivative Of Exponents

Find the derivative for

**Possible Answers:**

**Correct answer:**

Explanation:

The derivative must be computed using the product rule. Because the derivative of brings a down as a coefficient, it can be combined with to give

### Example Question #3 : Understanding The Derivative Of Exponents

Give the instantaneous rate of change of the function at .

**Possible Answers:**

**Correct answer:**

Explanation:

The instantaneous rate of change of at is , so we will find and evaluate it at .

for any positive , so

### Example Question #2 : Specific Derivatives

What is ?

**Possible Answers:**

**Correct answer:**

Explanation:

Therefore,

for any real , so , and

### Example Question #2 : Understanding The Derivative Of Exponents

What is ?

**Possible Answers:**

**Correct answer:**

Explanation:

Therefore,

for any positive , so , and

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### All High School Math Resources

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