THE CHAIN RULE If g is differentiable at x and f is differentiable at g x then the composite function F f g defined by F x f g x

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THE CHAIN RULE If g is differentiable at x and f is differentiable at g x then the composite function F f g defined by F x f g x is differentiable at x and F is given by the product F x f g x g x In Leibniz notation if y f u and u g x are both differentiable functions the dy dy du dx du dx Note addition formula to execute next assignment d dx ax ax In a 2 y 4 3x 2 4 y tan sin x cin of

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