Solution: In the curve 2 + 12x – x^3, find the critical points

In the curve 2 + 12x – x^3, find the critical points. How to find the critical points in the curve?

Problem Statement: ECE Board November 1991

In the curve 2 + 12x – x^3, find the critical points.
• A. (2, 18) and (-2, -14)
• B. (2, 18) and (2, -14)
• C. (-2, 18) and (2, -14)
• D. (-2, 18) and (-2, 14)

Note: Critical points are points wherein the slope of the curve is zero.

The critical points of the curve are (2, 18) and (-2, -14)

Solution:

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