Suppose f(2) = 4, f' (2) = 5, f(8) = 8, f' (8) = 2, g(2) = 4, g' (2) = -6, | dH and H(x) = f(x² + g(x)). Find dx |x=2 Н (2) —

Q: If F(x) = f(g(x)), where f(5) = 7, f '(5) = 2, f '(2) = 3, g(2) = 5, and g'(2) = 3, find F '(2). F…

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Q: Suppose that f(2) = -4, g(2) = 5, f '(2) = -1, and g'(2) = 2. Find h'(2). (a) h(x) = 3f(x) – 5g(x)…

A: Since, you have asked multiple parts in a single question, we would be answering only the first…

Q: If f'(x)=7x x-4 and f(4)= - 5, then what is f(5)?

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Q: If f'(x) = and f(0) = 2, then f(4)can be written in fully simpi %3D S(x)

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Q: Suppose F(5) = -7, F(9) = 3, and F'(x) = f(x). = [ 7f(x) dx

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Q: if f(x)=(4x+8)^-4 find f'(x) and f'(3).

A: Given:- f(x) = (4x+8)-4 To find:- f'(x) and f'(3)

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: If 11+2 f(x) + x²(f(x))³ = 0 and f(3) = -1, find f'(3). f'(3) =

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Q: 4x + 2x - If f(x) = | find f'(x) x4

A: Given that, f(x) = (- 4x5 - 4x4 + 2x3) / x4 And we have to calculative the first derivative of the…

Q: If f(x) = (5x +6) find f'(x). Find f'(3).

A: topic - derivative of a function

Q: Find f'(9) if f(x) = 7x² +6x + 2 √x f'(9)=

A: we know, ddx(xn)=nx(n-1) for any real n

Q: Find y=f(x) if f''(x)=4x^2, f'(0)=3, and f(0)=2.

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Q: f(x) = (x³ + 2x + 7)4 f' (æ) = f' (5) =

A: Consider the given function: fx=x3+2x+74 Differentiate the function using chain rule which is given…

Q: If f(x) = (3x + 8), find f'(x). %3D Find f'(1).

A: Note some formule:

Q: If f(x) = f'(x) = f'(1) = 7x + 5 6x + 2 3 find:

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Q: - If f'(x)=3x² 2 and f (1) = 4, find f(e).

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Q: If f(x) = f'(x) = f'(1) = 6x + 2 7x + 2 find: 2 (7x + 2)² 28 (7x+2)³ X

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Q: if f(x)=cosx-3tanx, then f′(x)= f'(5)=

A: The given function is f(x)=cosx-3tanx

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

A: Given fx=6 To find f'9

Q: If f(x) = (3x + 5)¯², find ƒ'(x). Find ƒʼ(2).

A: As we know that: The Chain rule: fgx'=f'gx·g'x The Power law: ddxxn=nxn-1   The given function is:…