(a) Compute /(2) dr, given that f(b) 3 and that | af'(a) dr b(1 + f(-b)). (b) Computei (2) dz. given that h(b) = 6, h(-b) -6 and that j(x) = xh'(x) is an odd

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A: Given function is : fx=3x9 The given function can be written as : fx=3x-9

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A: Given, f'(x)=(2/(1+x2))+(5/7)x5/7

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Q: dH f(5) = 8, f' (5) = 4 f(26) = 8, f'(26) = 6, g(5) = 1, g'(5) = -9, and H(x) = f(r² + g(x)). Find…

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Q: Let f(x)=√1+4x f'(3)

A: We know that the derivative of x^n=nx^(n-1)

Q: 2. Determine f'(1) for the function f(x) = (8x – 6Vx5 + 3) (x² – 9x² +) -

A: A detailed solution is given below

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Q: f(x) = '(x) = - 15 √√x

A: Given query is to find indicated derivative.

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A: Given query is to find indicated derivative.

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Q: Given f()= 2x + 1 and ()= r*+ 2x-1, fnd (f- (1).Then valute the difence when x=2.

A: Sum and difference of the two functions

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A: Use the following formulae, to obtain the solution. Chain rule for differentiation:…

Q: Find a function f(x) such that f'(x) = 9x² +2 and f(0) = 1 f(x) =

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Q: Suppose that f'(x) = 2x for all x. a) Find f(4) if f(0) = 0. b) Find f(4) if f(2)= -1. c) Find f(4)…

A: Given f'( x ) = 2x

Q: 4 Suppose that f'(x) = 2x for all x a) Find f(5) if f(0) = 0. b) Find f(5) if f(4) = 14. c) Find…

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Q: Find f'(x) and simplify. X X-19 f(x) = Which of the following shows the correct application of the…

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Q: Let F(x) = f(f(æ)) and G(x) = (F(x))² . You also know that f(3) = 6, f(6) = 2, f'(6) = 5, f'(3) = 15…

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Q: Show that F(x) = 4x² + 6x +5 is anti-derivatives of f(x) = 8x + 6

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Q: Let F(x) = f(f(x)) and G(x) = (F(x))² . You also know that f(3) = 9, f(9) = 3, f'(9) = 12, f'(3) = 5…

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Q: Let F(x) = f(x5) and G(x) = (ƒ(x))5 . You also know that aª Then F'(a): = = = 8, f(a) = 2, ƒ'(a) =…

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Q: Compute the derivative of f(x) = (x² + 3)e7x+5. O (x² +2x+3)e7x+5 O 14xe7x+5 O (7x2 + 14x + 21) e7+5…

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Q: Let 11 f(x) = ( – 2a² – 4)(7z² – 4)" - - f'(x) =

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Q: 3. Suppose that f(1) = 2, f(4) 7, f'(1) 5, f'(4) = 3, and f" is continu- %3D | af" (x) da. ous. Find…

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Q: Find (f1)'(3) given the following table of values. f(z) f'(z) 3 1

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Q: Let f(x) = -2x√√x + f'(x) = -8 x²√x

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