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Suppose f(1) = −1, f(2) = 0, g(1) = 2, g(2) = 7, and f 0...

Suppose f(1) = −1, f(2) = 0, g(1) = 2, g(2) = 7, and f 0 (1) = 1, f0 (2) = 4, g0 (1) = 8, g0 (2) = −4.

(a) Suppose h(x) = f(x^2 g(x)). Find h 0 (1).

(b) Suppose j(x) = f(x) sin(x − 1). Find j 0 (1).

(c) Suppose m(x) = ln(x)+arctan(x) e x+g(2x) . Find m0 (1).

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