Differentiation - Increasing and Decreasing Functions
Differentiation - Increasing and Decreasing Functions
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.
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Answer:(a) \(x<\frac{1}{3}\) or \(x>1\) (b) Maximum at \(\left(\frac{1}{3},-\frac{127}{27}\right)\); minimum at \((1,-5)\)
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