2. More with Rules for Differentiation
Mr. Miehl

3. 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.

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

5. Evaluating Derivatives
Find the value of the slope of:

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

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

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

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

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

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

12. 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.