Use the following table to answer the questions below. 1 2 4 f(æ) f'(x) g(x) 3 4 1 4 1 3 2 4 3 1 2 1 3 4 (x), 6 Find h'(2) if h(x) = f(x) · g(x) f(æ) Find h'(2) if h(x) Round to 3 decimals as needed. g(x) Find h' (2) if h(x) = f(g(x))

Q: Let f and g be functions such that f(0) = 18, f '(0) = 3, f(18) = 11, f '(18) = - 5 and g(11) = -…

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Q: Calculate the following derivative if h(w) Vwew. (Use symbolic notation and fractions where needed.)…

A: According to the product rule, derivative of the product uv where u and v are functions of x is…

Q: Use the values in the table below to answer each of the following: f(x) g(x) f'(x) g'(x) 5 1 -1 -3…

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Q: A. Find the derivative of each function. 1. f(x) = 26 2. g(x) = -9 3. f(x) = x+7 4. y = 4-2x 5. f(x)…

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Q: Find f. f"(x)  =20x3 -12x2 +6x

A: Consider the provided function, f''x=20x3-12x2+6x Find  fx. Integrate both the sides with respect to…

Q: if f(3)=4, g(3)=9, f'(3)=5, and g'(3)=6, find the following numbers: a. (fg)'(3)

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Q: If f(x)=x^2 −1,and h(x)=1−4x, find the following new functions,as well as any values indicated. A)…

A: Given function  f(x) = x2 - 1  and h(x) 1 - 4x Then A) (f + h)(x) = ? B) (f + h)(0) = ?

Q: (f-1)'(3) given the following table of values. f(x) f'(x) 3 1

A: Given, Assume a nth order polynomial function. Substitute x=2 in the above expression.…

Q: Find the following using the table below. X 1 2 3 4 3 4 f(x) 2 1 f'(x) 2 4 3 1 g(x) 2 4 3 1 g'(x) 2…

A: 1) given function h(x)=f(x).g(x)Derivative w.r.t 'x' by using the product ruleformula of the product…

Q: point) If ƒ(5) = -3, g(5) = -4, f'(5) = -2, and g'(5) = -2, find the values of the following: %3D (f…

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Q: Suppose that for two functions f & g, we know the following information:f(8) = 16f'(8) = 6f(3) =…

A: The given composition function is

Q: Find the general form of f if f'(x)= -7f(x).

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Q: у 3 2Таn(0.5х) — х II

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Q: x + 2 Consider the function f(x) Compute each of the following. Simplify your answer and use exact х…

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Q: – 5x+ 8x4 + 7x3 If f(x) find f'(x) %3D x4

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Q: 5e* Find the derivative of f (x) Зех+1

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Q: Consider the following. و + شہری ۔ شہر = (f(x (a) Find F(x) and f(x). f(x) = F(x) = (b) Graph Rx),…

A: Given:To find:f'(x) and f''(x) and monotone intervals

Q: If g(x)=2x−3, and h(x)=1−4x, find the following new functions,as well as any values indicated. A)…

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Q: The slope of the tangent line at any point on the graph of f(x) = 7x2 + 4x is given by the…

A: Given f( x ) = 7x2 + 4x f'( x ) = limh→0f( x + h ) - f( x )h

Q: Suppose that f (x) = 8x² – 2x + 5. Evaluate each of the following: f'(9) = f'(-11) =

A: Given,            fx=8x2-2x+5

Q: 4x + 3 Find the inverse of f(x) 1 ƒ-'(x) =

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Q: Find each of the following. In some cases, you may need to rewrite the function firs (a) F'(x) for…

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