Problem 6 (4 points) Prove linearity for derivatives: Let I be an interval, let : I...

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Problem 6 (4 points) Prove linearity for derivatives: Let I be an interval, let : I R and g IR be functions differentiable at c, and let a, R. If h : I R is defined by then his differentiable at c and h(x) = af(x) + g(x) h'(c) af'(c)g(c) Problem 6 (4 points) Prove linearity for derivatives: Let I be an interval, let : I R and g IR be functions differentiable at c, and let a, R. If h : I R is defined by then his differentiable at c and h(x) = af(x) + g(x) h'(c) af'(c)g(c)