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Suppose that functions f and g and their derivatives with respect to x have the values shown to the right at x = 2 and
Suppose that functions f and g and their derivatives with respect to x have the values shown to the right at x = 2 and x = 3. Find the derivatives with respect to x of the combinations below X f(x) g(x) f ( x ) g (x) at the given values of x. 2 5 3 - 3 3 1 - 5 3 a. 3f(x), x = 2 b. f(x) + g(x), x=3 c. f(x) . g(x), x= 3 f(x ) d. g(x) ' *= 2 e. f(g(x)). x =2 f. (f (x), x= 2 g. , X =3 g? ( x ) h. Vf (x) +g? (x), x=2 a. The derivative of 3f(x) with respect to x at x = 2 is. (Simplify your answer. Type an exact answer, using x as needed.) b. The derivative of f(x) + g(x) with respect to x at x = 3 is (Type an exact answer, using it as needed.) c. The derivative of f(x) . g(x) with respect to x at x = 3 is (Type an exact answer, using it as needed.) d. The derivative of - f(x) g(x) with respect to x at x = 2 is]. (Type an exact answer, using it as needed.) e. The derivative of f(g(x)) with respect to x at x = 2 is| (Type an exact answer, using it as needed.) f. The derivative of vf(x) with respect to x at x = 2 is (Type an exact answer, using it as needed.) g. The derivative of - with respect to x at x = 3 is . g- ( x ) (Type an exact answer, using it as needed.) h. The derivative of of-(x) + 9-(x) with respect to x at x = 2 is. (Type an exact answer, using it as needed.)
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