aleshkaurrutia21 aleshkaurrutia21
  • 23-03-2024
  • Mathematics
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A curve has the equation y=x3+8x²+5x.
Work out the coordinates of the two turning points.

A curve has the equation yx38x5x Work out the coordinates of the two turning points class=
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georgepahno georgepahno
  • 23-03-2024

Answer:

f(x) = x³ + 8x² + 5x

f'(x) = 3x² + 16x + 5 = 0

(x + 5)(3x + 1) = 0

x = -1/3, x = -5

f(-5) = (-5)³ + 8(-5)² + 5(-5) = 50

f(-1/3) = (-1/3)³ + 8(-1/3)² + 5(-1/3) = -22/27

The coordinates of the two turning points are (-5, 50) and (-1/3, -22/27).

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