??????? Question 1 - 15 marks You should be able to answer this question after studying Unit 7. Differentiate the following functions, simplifying your answers as far as possible. (a) f(x)=x7e2x [3] (b) g(y)=cos(y)ln(y)? (c) h(z)=e4z? (d) k(t)=sin(sin(sin(t))) (Hint: For part (d), it may help to differentiate the function u(t)=sin(sin(t)) first.)

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???????  Question 1 - 15 marks You should be able to answer this question after studying Unit 7. Differentiate the following functions, simplifying your answers as far as possible. (a) f(x)=x7e2x [3] (b) g(y)=cos(y)ln(y)? (c) h(z)=e4z? (d) k(t)=sin(sin(sin(t))) (Hint: For part (d), it may help to differentiate the function u(t)=sin(sin(t)) first.)

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