Answered

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How Do I Solve This class=

Sagot :

sqdancefan

Answer:

  • f'(2) = 0
  • f'(4) = 1/2
  • f'(7) = 0

Step-by-step explanation:

The derivative at a point is the slope of the graph at that point.

a = 2

The line is horizontal at x=2, so the slope is zero.

  f'(2) = 0

__

a = 4

The graph at that point is on a linear portion of the curve. The line has a rise of 1 for a run of 2, so the slope is ...

  f'(4) = rise/run = 1/2

__

a = 7

The curve has a maximum at x=7, so the derivative of the function there is zero. (Extrema occur where the derivative is zero.)

  f'(7) = 0

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