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3. Introduction to Differentiation

Gradients of curves, tangent & normal equations, turning points, and kinematics. • All worked solutions and examiner mark schemes are 100% unlocked.

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0580/43/O/N/22 Q6hard[5 Marks]

Stationary Points & Nature of Turning Points

A curve has equation y = 2x³ - 9x² + 12x - 4. (a) Find dy/dx. (b) Find the coordinates of the two stationary points. (c) Determine the nature of each stationary point using the second derivative.

y=2x3−9x2+12x−4y = 2x^3 - 9x^2 + 12x - 4
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