This document contains a third partial review of derivatives that asks the student to determine if statements about derivatives are true or false, find the equation of tangent lines, evaluate derivatives of various functions, and find second derivatives. It contains multiple derivative problems and concepts for the student to work through, including determining derivatives, tangent lines, and higher order derivatives.

1. Third Partial Review.

2. True or False.
Graphically, the Derivative is defined as the slope of the tangent line to
a curve at a given point.

3. Find the equation of the tangent line to the curve at x = 1.
Sketch the function and the tangent line.

4. True or False.
If we want to find dy/dx of y = x3, we have to evaluate

5. Find the derivative of the following function

6. Find the derivative of the following function

7. True or False.
If f(x) = (3x4 + 1)10, does f'(x) = 10(3x4 + 1)9?

8. Find the derivative of the following function

9. Find the derivative of the following function

10. Find the derivative of the following function

11. Find the second derivative of the following function

12. Find the derivative of the following function

13. Find the second derivative of the following function

14. Find the second derivative of the following function