Q. The maximum slope of the curve $y = - x^{3} + 3 x^{2} + 2 x - 27$ is

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A

1

0%

B

23

0%

C

5

100%

D

-23

0%

Solution:

Slope $m = \frac{d y}{d x} = - 3 x^{2} + 6 x + 2$
$\frac{d m}{d x} = 0; - 6 x + 6 = 0$
$x = 1; m = - 3 + 6 + 2 = 5$