Get Answers to all your Questions

header-bg qa

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


Slope of the curve is given by



\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

Posted by


View full answer

Crack CUET with india's "Best Teachers"

  • HD Video Lectures
  • Unlimited Mock Tests
  • Faculty Support