Suppose that the functions f and g and their derivatives with respect to x have the following values at the given values of X. Find the derivative with respect to x of the given combination at the given value of x. f (x) g (x) f' (x) g' (x) 3 8. 17 4 -6 f (g (x)), x = 4 -30 24 8. -48 943

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A: solution is here

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A: Hi! Thank you for the question, As per the honor code, we are allowed to answer one question at a…

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A: The chain rule says:ddx[f(g(x))]=f'(g(x)) g'(x)=d[f(g(x))]d[g(x)]·d[g(x)]dx   Note: According to the…

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Q: 1. Determine the true error and relative true error when approximating the derivative of f(x) = -x²…

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Q: Suppose that the functions f and g and their derivatives with respect to x have the following values…

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Q: 59. Suppose that functions f and g and their derivatives with respect to x have the following values…

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Q: Suppose that the functions f and g and their derivatives with respect to x have the following values…

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Q: We are given that the derivative of f is f′(x)=3x2−12x−15 and that f(1)=81.   The absolute maximum…

A: We are given that the derivative of f is f′(x)=3x2−12x−15 and that f(1)=81.   The absolute maximum…

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A: Since, g(x)=sin (cos x)g'(x)=cos (cos x)ddxcos (x)⇒g'(x)=cos (cos x)(-sin (x))ddx(x)⇒g'(x)=-cos (cos…

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Q: 3 5.) y = ; x+5

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Q: Let f (x) = x sin x and g(x) = x cos x. (a) Show that f ,(x) = g(x) + sin x and g ,(x) = −f (x) +…

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Q: Q. 2. a) Find nth order derivative of f(x) = In(2x-7). b) Find 3rd order derivative of y with…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…