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1. (24 pts - 6 pts each) Suppose f(x) is a differentiable function, f (2) = 3, f (7/4) = -2, f'(2) = -1, and
1. (24 pts - 6 pts each) Suppose f(x) is a differentiable function, f (2) = 3, f (7/4) = -2, f'(2) = -1, and f (7/4) = 1. You can use any differentia- tion rules you like. (a) Find g'(7 /4) if g(x) = f(x) sin(x). (b) Find h'(2) if h(x) = xf(2) x2 + 1' (c) Find G'(2) if G(x) = (f(x) -2)9. (d) Find H'(7/4) if H(x) = f (cos (2x) + 2). 2
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