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Section 3.4 3. (12 pts) Calculate the derivative of the following functions. (a) HI) = mus2 1/31- + 1 0:) st!) = 13811035) The Chain

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Section 3.4 3. (12 pts) Calculate the derivative of the following functions. (a) HI) = mus2 1/31- + 1 0:) st!) = 13811035) The Chain Rule If g is differentiable at a and f is differentiable at p(z), then the composite function F = fog defined by F(r) = /(g(a)) is differentiable at a and F" is given by the product F ' lx ) = ax ( f (g ( x))) = f' (g (x)) . g' (x) In Leibnix notation, if = (o) and get are both differentiable functions, then dy dy. du du dx

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