Question: 7. [Maximum mark: 13] Let f(x) = - COS X for sin x # 0. sin x (a) Use the quotient rule to show that

7. [Maximum mark: 13] Let f(x) = - COS X for sin x # 0. sin x (a) Use the quotient rule to show that f'(x) = _ sin x (b) Find f'(x) . In the following table, f * = p and f * = q. The table also gives approximate values of f'(x) and f*(x) near x = X It _0.1 NIA S'(x) -1.01 P -1.01 S'(x) 0.203 -0.203 (c) Find the value of p and of q. (d) Use information from the table to explain why there is a point of inflexion on the graph of f where x=~

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