For the curve y = 4x − x⁴, the value of x for which the rate of change of slope is zero is: A. 0 B. 1 C. −1 D. 2 Answer: A) 0 Explanation: Slope m = dy/dx = 4 − 4x³. Rate of change of slope = dm/dx = −12x². Set −12x² = 0 → x = 0.

imo class 12 application of derivatives

For the curve y = 4x − x⁴, the value of x for which the rate of change of slope is zero is:

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For the curve y = 4x − x⁴, the value of x for which the rate of change of slope is zero is:

Answer: A) 0

Explanation: Slope m = dy/dx = 4 − 4x³. Rate of change of slope = dm/dx = −12x². Set −12x² = 0 → x = 0.