If h(x) = f(g(x)) , then h'(x) = f'(x)g'(x)

Q: Find h'(2), given that f(2)= -5, g(2) = 3, f'(2) = -2, and g'(2) = 4. (a) h(x) = 4f(x) - 2g(x)…

A: Answered first three subparts as per our company guidelines.

Q: Given f(x) = g(x)h(x), find f'(3) given g(3) = 4, g'(3) = -1, h(3) = -5 and h'(3)=1.

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Q: Find f'(x), f''(x), and flo (x) for the following function. f(x) = 2ex f'(x) = f"(x) =O %3D A3) (x)…

A: The given function is f(x)=2ex

Q: f(x) = tan(x) – 4 Find sec(x)

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Q: can you explain if this statement is true or false if h(x)=f(g(x)), then h'(x)=f'(g'(x))

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Q: (0,F) (L.F) (L+ F, 0) (L+F+ LF, 0) 2. The following is the graph of f'(x).

A: From the graph,when 0≤x≤L, f'x=F Therefore, f(x)=∫f'xdx=∫F dx=Fx+cc being an integrating constant…

Q: (x)= g(h(x)), then f'(4)= ? Use graph g(x) and h(x) to answer.

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Q: Find g'(x) if g(x) = 6xe2x

A: Given a function: .It is required to find the derivative of the given function with respect to…

Q: Let f(x) = V4x² + 3x +7 f'(x) = f'(5) =

A: As we know that: The chain rule: fgx'=f'gx·g'x The Power law: ddxxn=nxn-1 Given: fx=4x2+3x+7

Q: If F(x) = f(g(x)), where f(-2) = 8, f'(-2) = 4, f'(5) = 3, g(5) = -2, and g'(5) = 6, find F'(5).

A: Here given

Q: Find g'(x) if g(x) = 5xe4x. g'(x) =

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Q: Find f'(x) for f(x) = e2xsec-1(2x)

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Q: If f(x) = 5x² In(6x), then f'(x) = f''(x) = f'''(x) f(4) (x) = f (5) (x)

A: We have to find derivative of give function.

Q: If f(x) = x0, then f'(x) = %3D If g(x) = 6xt, then g' (x) = If h(x) 1 then h'(x) =

A: Solve the function

Q: Let g(x) 10x + 12 3x + 6 Find the derivative of g'(x). g'(x) =

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Q: If f(x) = (x2 + 5x + 8)*, then f'(x) = f'(5) =

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Q: Find h(x) if h'(x)= h(x): 5x (6-x²)² X and h(1) = -6.

A: NOTE: Refresh your page if you can't see any equations. . here we have take integration on both…

Q: Suppose f''(x) = 6x + 9e ƒ'(0) = - 8, and f(0) Then f(x) = = - - 3x - 5.

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Q: Find f''(x). f(x)=5x2-11x-9/x2

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Q: If f(x) = 6, then f '(9) =

A: Given fx=6 To find f'9

Q: Given f''(x) f(0) = - 4 sin(2x) and f'(0) = 3 and 3. - Find f(G) ||

A: We will solve the problem

Q: If F(x) = f(g(x)), where f(-5) = 4, f '(-5) = 8, f '(-1) = 5, g(-1) = -5, and g'(-1) = 3, find F…

A: Explained below...