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4. Suppose that the functions 9(x) is differentiable at :5 = 1 and f (as) is differentiable at :c = 5 and 9(1) = 1,g'(1)=

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4. Suppose that the functions 9(x) is differentiable at :5 = 1 and f (as) is differentiable at :c = 5 and 9(1) = 1,g'(1)= 1,f(1)= 5,f'(5) = 2. (a) Is f - g differentiable at at :1: derivative? 1? Do you have enough information to compute the (b) Is 5 differentiable at at cc = 1? Do you have enough information to compute the derivative? (0) Is f (g(:c)) differentiable at CL\" = 1'? Do you have enough information to compute % f (903)) at 3: = 1? If so, compute it, if not explain why not. (d) How about 9( f (55))? Is it differentiable and can the derivative be computed at m = 5? If so, compute it, if not explain Why not

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