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  3. the chain rule if g is differentiable at x and f i

THE CHAIN RULE If g is differentiable at x and f is differentiable at g...

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Calculus

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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 ther dy dy du dx du dx Y Y dy Note addition formula to execute next assignment X U 1 x 10 d dx dy du U 1 x du du dy du 28 y ax a In a dx love 10 1 x 2 30 G y e e u e e u y 2X 5

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