A curve has equation

MATHEMATICS · Multi-part · A Level · Mathematics · Differentiation · Differentiation

Problem

A curve has equation y=4x−37x2y = \frac{4\sqrt{x} - 3}{7x^2} . Find, correct to two decimal places: (a) the gradient when x=3.2x = 3.2 (b) the equation of the tangent at the point where x=3.2x = 3.2 .

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