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  4. The maximum slope of the curve y=-x3+3 x2+2 x-27 is

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

KCETKCET 2021Application of Derivatives

Solution:

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