1. More with Rules for Differentiation Warm-Up: Find the derivative of f(x) = 3x 2 – 4x 4 +1

2. Objective  To evaluate a derivative at a point.  To use the derivative to find the slope of a function.  To use the derivative to find the equation of a tangent line.  TS: Making decisions after reflection and review.

3. Evaluating Derivatives  Find the value of the derivative of:

4. Evaluating Derivatives  Find the value of the derivative of:

5. Tangent Lines  Find an equation of the tangent line to the graph of: Slope of the tangent line

6. Tangent Lines Equation of the tangent line to f (x) at (3, 2)

7. Tangent Lines Slope of the tangent line  Find an equation of the tangent line to the graph of:

8. Tangent Lines Equation of the tangent line to f (x) at

9. Slope of a Function  Determine the point(s) at which the graph of has a slope of 1.

10. Slope of a Function Points with a slope of 1

11. Conclusion  To find an equation of a tangent line:  First, find the derivative of the function.  Next, plug the corresponding x-value into the derivative, to find the slope.  Finally, use the slope and the point to write an equation of the line.