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  • Please solve RD Sharma class 12 Chapter Maxima and Minima exercise Multiple choice question, question 35 maths textbook solution.

Please solve RD Sharma class 12 Chapter Maxima and Minima exercise Multiple choice question, question 35 maths textbook solution.

Answers (1)

Answer: (b) 12

Hint: For local maxima or minima, we must have f'(x)=0.

Given: Maximum slope of the curve y=-x^3+3x^2+9x-27

Solution:

Slope of the curve is given by

m=\frac{dy}{dx}=-3x^2+6x+9

\frac{dm}{dx}=-6x+6  

\frac{d^2m}{d^2x}=-6<0            ∀x

So, m is maximum, when x = 1

Putting x = 1 in the slope of the curve, we get, m = -3+6+9=12

The slope is maximum at the point (1, 12).

Maximum value of slope is m = 12

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