For y = 2x 3 3x 2 36x + 4 a. Find dy/dx and the

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For y = 2x3 − 3x2 − 36x + 4

a. Find dy/dx and the values of x when dy/dx = 0.

b. Find the value of d2y/dx2 at each stationary point and hence determine its nature.

c. Find the value of y at each stationary point.

d. Sketch the curve.

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