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Q4 Perform the following 'chain-rule' differentiations. Which question style (a) or (b) would you prefer to get on a test?! 1 + sin 2.x -1

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Q4 Perform the following 'chain-rule' differentiations. Which question style (a) or (b) would you prefer to get on a test?! 1 + sin 2.x -1 (a) Let f(x) = 2 - 3x . Find (the exact value of) f'(x) when x = 1/4. Sim- plify your final number as much as possible. (b) Suppose f and g are differentiable functions that satisfy: f(x) g(x) f'(x) g(x) r = 2 4 -1 7 2 r=-1 0 2 4 3 r=1 -2 -1 5 -3 Find [f o g)'(-1). Exact value please. What can you say about [go f]'(2)

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