graph the derivative of the function graphed on the right. choose the correct graph below.

Explanation:

Step 1: Identify increasing/decreasing intervals

Where the original function rises, the derivative is positive; where it falls, the derivative is negative.

Step 2: Locate critical points

Peaks/troughs in the original function correspond to zeros (crossing the x-axis) in the derivative.

Step 3: Analyze slope steepness

Steeper slopes in the original function mean larger magnitude in the derivative; gentle slopes mean smaller magnitude.

Answer:

B.