5. Consider the function h(x) whose derivative h' (x) = 3x2Vx3 + 8. (a) Find functions f and g such that f(g(x))g'(x) = h' (x). ww.sde (b) Given h(0) = 1, find h(x) exactly. %3D 2.

Q: Q3: Find domain and Range. 1 y = Vx- |x|

A: Here we find domain and range of given function.

Q: Let h(x) = f(g(x)) and p(x) = g(f(x)). Use the table below to compute the following derivatives. a.…

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Q: Find the second derivative. 9. f(x) = V4x-5 f"(x) = f'"(x)=|

A:

Q: Find an expression for h'(x).  h(x) = 2 f (2x + 1)

A: Given equation - hx = 2f2x+1    .........(1)

Q: h(x) = (4x² – 3x + 5)(2x – 7)? %3D -

A: Now, differentiate the above function by using product rule of derivative.

Q: Use the graph of f and g. p(x) = f(x)g(x) %3D f(x) q(x) = g(x) %3D y 10 8 f 4 2 -2 2 4 6. 8 10

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Q: Find '(x) for g(x) = N15 gal

A:

Q: The derivative of the function f is given by f'(x) = - 2(x - 3)-3. Find an equation of the line to…

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Q: Given f"(x) = -7x³ – 7a? + 7x + 10, f'(1) = 7, and f(1) = 5. Find f'(x) and f(x). Part 1: Find the…

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Q: For f(x) = 8 find f'(x). f'(x) =D

A: Explanation of the answer is as follows

Q: If f and g are functions that satisfy f'(2) = -3 and g'(2) = -1, find h'(2) for h(x) = -5f(x) +…

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Q: Let h(x) = f(g(x)) and p(x) = g(f(x)). Use the table to compute the following derivatives. a. h'(4)…

A: In loose transaction of composite function u(v(x)), v is known as inside function and u is known as…

Q: 2a5 Given that f(x) = and values h(-1) =-3. h'(-1) = 7, find f(-1) AND f'(-1). h(x) %3D Show your…

A: f(x)=2x5h(x), and values h(-1)=-3, h'(-1)=7

Q: If f and g are functions that satisfy f'(2) = 5 and g'(2) = −2, find h'(2) for h(x) = 2f(x) - g(x) +…

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Q: Let f(x) = z and g(a) = f (2). Find g' (x) by findingf (x) and then taking the derivative. O g' (x)…

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Q: Use the product rule to find the derivative. f(x) = (3x - 2)(6x + 1) %3D O f(x) = 36x - 4.5 !3! O…

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Q: Let h(x) = f(g(x)) and p(x) = g(f(x)). Use the table below to compute the following derivatives.…

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Q: x2 find f"(x). Then find f"(0) and f''(7). For the function f(x) = %3D 3 + x' f"(x) =

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Q: Morphine is administreted to a patient intravenously at a rate of 2.5 mg per hour. About 34,7% of…

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Q: Let h(x) = f(g(x)) and p(x) = g(f(x)). Use the table below to compute the following derivatives. a.…

A: Differentiate given function at given value

Q: Find the derivative of the algebraic function H(v) = (v5-3)(v++3). Select one: H'(v) = 9v8…

A: Given Algebraic Function

Q: e of the derivati

A: It is given that ,  x j(x) j'(x) k(x) k'(x) -1 3 -4 5 -6 a) h(x)=2j(x)k(x)find h'(-1)=? b)…

Q: Suppose the units of f(x) are square meters, when x is measured in persons. The units of f'(x) will…

A: Given, The units of fx are square meters, where x is measured in persons We have to find the units…

Q: x/f(x) 10. Given h(x) If f(2) = 9, f'(2) = 4, g(2) = -1, g'(2) = -3, calculate h'(2). g² (x)

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Q: f(x) = 2x5 – 3eár

A: Given query is to find the derivative of the expression.

Q: Find the derivative of ƒ(z)= 5z10 – 23 +2 f' (z) = %3D

A: