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(5 marks). Suppose that f and g are differentiable functions and let h(x) = f(x)(z) Note: this question requires content covered in Section 3.6. (a)

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(5 marks). Suppose that f and g are differentiable functions and let h(x) = f(x)(z) Note: this question requires content covered in Section 3.6. (a) (3 marks). Show that h' = f-1 (f'g + fg' In f) (b) (1 mark). If f(r) = b (where b is a strictly positive constant), show that the formula in part (@) simplifies into a formula we have seen earlier in this course. (c) (1 mark). If g(x) = n (where n is a constant), show that the formula in part (a) simplifies into a familiar formula we have seen earlier in this course

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