Question

Determine all critical points for the following function. f(x)=x2−14x+1

Answer 1

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Answer:

  (x, y) = (7, -48)

Step-by-step explanation:

A critical point is where the slope is zero or undefined. A polynomial function will never have any points where the slope is undefined.

The slope is zero were f'(x) = 0.

  f'(x) = 2x -14

  0 = 2x -14

  0 = x -7

  7 = x

  f(7) = 49 -98 +1 = -48

The critical point is (7, -48).