Home/Mathematics/Х f(x) g(x) g'(x) 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 at the given values of x. 2 7 3 f'(x) 5 7 2л vo -6 3 1 -3 5
e. The derivative of f(g(x)) with respect to x at x = 2 is (Type an exact answer, using a as needed.)
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Solved1 AnswerХ f(x) g(x) g'(x) 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 at the given values of x. 2 7 3 f'(x) 5 7 2л vo -6 3 1 -3 5
e. The derivative of f(g(x)) with respect to x at x = 2 is (Type an exact answer, using a as needed.)
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Transcribed Image Text: Х f(x) g(x) g'(x) 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 at the given values of x. 2 7 3 f'(x) 5 7 2л vo -6 3 1 -3 5
e. The derivative of f(g(x)) with respect to x at x = 2 is (Type an exact answer, using a as needed.)
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Transcribed Image Text: Х f(x) g(x) g'(x) 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 at the given values of x. 2 7 3 f'(x) 5 7 2л vo -6 3 1 -3 5
e. The derivative of f(g(x)) with respect to x at x = 2 is (Type an exact answer, using a as needed.)
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{:[(d)/(dx)f(g(x))=(d)/(dg(x))f(g(x))xx(d)/(dx)(g(x))],[=f^(')(g(x))g^(')(x)],[:.(d)/(dx)(f(g(x)))∣],[x=2=f^(')(g(2))g^(')(2)],[=f^ ... See the full answer