### Home > CALC > Chapter 5 > Lesson 5.1.1 > Problem 5-6

5-6.

Study the following information about

*P*(*x*): Homework Help ✎*P*(0) = 0*P*′(2) = 0*P*′(4) = −5*P*′(0) = 1*P*′(3) = −1*P*′(6) = 0Use the information above to sketch a possible graph of

*P*(*x*).Based on your sketch, give a reasonable estimate for

*P*′(1) and*P*′(5).

Plot points in reasonable areas and draw short lines to represent the slope at each point.

Use your graph to guess what the slope is at *P*(1) and *P*(5).

Use the eTool below to help solve the problem.

Click the link at right for the full version of the eTool: Calc 5-6 HW eTool