Consider the composite function

MATHEMATICS · Subjective · A Level · Mathematics · Differentiation · Differentiation

Problem

Consider the composite function y=f((g(x))2)y = f\bigl((g(x))^{2}\bigr). Selected values are shown below. x g(x) g'(x) 1 3 -1 3 -2 5 w f(w) f'(w) 4 1 -7 Calculate dydx\dfrac{dy}{dx} at x=3x = 3.

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