formula for composite derivatives
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The composite function rule shows us a quicker way. If f(x) = h(g(x)) then f (x) = h (g(x)) × g (x). ... The inside function is g(x) = x2 + 1 which has derivative 2x. The composite function rule tells us that f (x) = 17(x2 + 1)16 × 2x.
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