Suppose f(0) = 5, f' (0) = 5, f(1) = 4, f'(1) = 6, g(1) = 8, gʻ(1) = -3, and H(x) = f(ln(x)) + In(g(x)). Find %3D dH dx x= Н'(1) —

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Q: if f(x)=2ln(6+x) f'(x)= f'(3)=

A: Here, f(x)=2 ln (6+x)

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A: f(x) = √x  So, f'(x) = 1/(2√x)

Q: If h'(3) -1 and h'(1) = 5, then |h"(z)dr = %3D %3D (A) -6 (B) 4 (C) 5 (D) 6 (E) 9

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A: The given function is: f(x)=x2+5x+22

Q: h) Write an equation for a function with roots: 5, -7, 0 Write an equation for this same function if…

A: Solving the problem by finding the equation.

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A: Given hx=lnx+x2-1

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A: Explanation of the solution is given below....

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A:

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Q: Ex. 8 Differentiate k(x)= ln(x)f(x)

A: Our AIm is to differentiate the function given below:-f(x)=ln (x) f(x) -(i)

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A: The function is given by fx = 7-x26+x2 To evaluate:The expression of f'x

Q: If f(x)= 2x' +2/x+3ln x , then f'(1)= %3D

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Q: Find f'(x). f(x) = -14 Inx+ 5x². -7 f'(x) =

A: We will find the required derivative.

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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: Find g'(x) if g(x) g'(x) = = 9x e 6x

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Q: If f(x) = = f'(x) = f"(x) = 4x 5x2 +7 compute the first and second derivatives of f(x).

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Q: f(x)=5ln(5+x)

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Q: y=ln(sin(X3-1))

A: Detailed explanation is attached below.

Q: Let F(x) = f(x*) and G(x) = (f(x))ª and suppose that a = 8, f(a) = 2, f'(a) = 9, f (a*) = 14 %3D…

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Q: Find h' (2) given h (x) = ƒ (x) g (x and given -3, f' (2) = 5, and gʻ (2) = 1 f (2) = 3, g (2)

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