A-level Maths · Differentiation

Tangent to a curve

Find the gradient with dy/dx at a point and give the tangent as y = mx + c.

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Question 1

The curve CC has equation y=−2x2+5x+1y = -2x^{2} + 5x + 1. Find an equation of the tangent to CC at the point where x=2x = 2, in the form y=mx+cy = mx + c, where m and c are constants.

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