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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 x = 3. Find the X f(x) g(x) f'(x ) derivatives with respect to x of the combinations below at the given values of x. g (x) 2 8 3 - 4 3 - 7 5 a. 2f(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 1 f. vf(x) , x=2 g. x = 3 g- (x) h. of (x) + g- (x). x=2 a. The derivative of 2f(x) with respect to x at x = 2 is 7 (Type an exact answer, using it as needed. Use integers or fractions for any numbers in the expression.) b. The derivative of f(x) + g(x) with respect to x at x = 3 is 2x + 5 . (Type an exact answer, using it as needed. Use integers or fractions for any numbers in the expression.) c. The derivative of f(x) . g(x) with respect to x at x = 3 is - 14x + 5 . (Type an exact answer, using it as needed. Use integers or fractions for any numbers in the expression.) f(x) d. The derivative of 233 W/. With respect to x at x = 2 isf(x) 233 d. The derivative of g(x) with respect to x at x = 2 is 63 (Type an exact answer, using it as needed. Use integers or fractions for any numbers in the expression.) e. The derivative of f(g(x)) with respect to x at x = 2 is - 8x (Type an exact answer, using x as needed. Use integers or fractions for any numbers in the expression.) 31/2 f. The derivative of vf(x) with respect to x at x = 2 is 56 (Type an exact answer, using radicals as needed. Use integers or fractions for any numbers in the expression.)31/2 f. The derivative of vf(x) with respect to x at x = 2 is 56 (Type an exact answer, using radicals as needed. Use integers or fractions for any numbers in the expression.) 10 g. The derivative of g? ( x ) with respect to x at x = 3 is 343 (Type an exact answer, using x as needed. Use integers or fractions for any numbers in the expression.) 60173 h. The derivative of vf (x)+ g-(x) with respect to x at x = 2 is - 511 (Type an exact answer, using radicals as needed. Use integers or fractions for any numbers in the expression.)