State the correct expression for the derivative of a composite function with respect to .

MATHEMATICS · Single correct · A Level · Mathematics · Differentiation · Differentiation

Problem

State the correct expression for the derivative of a composite function y=f(g(x))y=f\bigl(g(x)\bigr) with respect to xx. (a) f(g(x)) g′(x)f(g(x))\,g'(x) (b) f′(g(x))f'(g(x)) (c) f′(g(x)) g′(x)f'(g(x))\,g'(x) (d) f′(x) g′(x)f'(x)\,g'(x)

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