The equation of the curve is $y = 2x^3 - 4x^2 + 2x + m$. Find the set of values of $x$ for which

Question

The equation of the curve is $y = 2x^3 - 4x^2 + 2x + m$. Find the set of values of $x$ for which $y$ is increasing. If $m = -5$, find the coordinates of the turning points of the curve and determine the nature of these points.

Accepted Answer

(a) $x1$ (b) Maximum at $\left(\frac{1}{3},-\frac{127}{27}\right)$; minimum at $(1,-5)$

Differentiation - Applications of Differentiation — General

Differentiation - Applications of Differentiation — General

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