26. Find f'(x) for f(x) = x In(8x). f'(x) = 27. Find f'(x) for f(x) = In (x° ex). f'(x) = 28. Find f'(x) for f(x) = (2x- 5)5 (4-x)° f' = = 29. Find f'(x) for f(x) = (3x- 1)ª (4 – x*) 5

Q: Find f. f"(x) = −4+ 8x - 12x², f(0) = 4, f'(0) = 12 (Prob. 1,

A: Consider the derivative function and initial conditions, f''x=-4+8x-12x2,f0=4,f'0=12 The objective…

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

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A: Given:  fx=8x3 To Find:  f'x=?

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Q: Find f'(x), f''(x), and f (x) for the following function. f(x) = 9x° + 5x2 + 8x %3D

A: differentiate wrt to x

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Q: If f'(x)=8x' – 6x² +10x – 9 and f (1)=24, find f(x).

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Q: Find f. (x+ 1) (b) f'(x) = f(1) = 5 3.

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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: 3. Find f'(x) for f(x) = e f'(x) =

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Q: Find f'(x) and f'(c). f'(x) = f'(c) = Function f(x) = x²9 X-9 Value of c c = 1

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Q: Find f'(x) and f'(c). Function Value of c f(x) = (x° + 2x)(5x + 2x - 5) C = 0 f'(x) = f'(c)

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Q: The function h(x) is defined in terms of a differentiable f(x). When h(x)=f(x'º), find an expression…

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Q: If f(x)=(x-2)(2x + 1)6, th en what is f'(O) ?

A: We will use the product rule and chain rule to find f'(x)

Q: Find f. f(x) = f"(x) = -2 + 18x - 12x², f(0) = 3, f'(0) = 12

A: Integration

Q: f"(x) = 2x – 4 and f'(-1) = -1 and f(-1) = -3. Find f'(x) = and find f(4) = %3D

A:

Q: Find f'(x) and f'(c). Function Value of c f(x) = (x³ + 2x)(3x³ + 5x – 4) c = 0 f'(x) = f'(c) =

A: fx = x3 + 2x3x3 + 5x - 4fx = 3x6 + 11x4 - 4x3 + 10x2 - 8xDifferentiating with respect to x on both…

Q: Let f(x) = 5x4 - -1/2+8√x-3. (a) Find f'(x). (b) Find an equation for the tangent line to the graph…

A: Given that            function f(x) = 5x4-2x2+8x-3     Now             f'(x)    =  ddx5x4-2x2+8x-3…

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

A:

Q: Given f'"(1) = 9x +4 and f'(- 2) = 2 and f(- 2) = - 6. - Find f'(x) = and find f(4)

A: Given  f''x=9x+4          f'-2=-2  and f-2=-6          f'x=∫f''x dx+C                =∫ 9x+4  dx+C…

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

A: Note some formule:

Q: Find f. f"(x) = -2 + 36x – 12x², (0) = 8, f'(0) = 18 "(x) =

A:

Q: Find f(x) if f(x) = = 13. 4.x + 17 and f(1) :

A: Given: f'x=4x3+17 And, f1=13 The objective is to find fx.

Q: If f(x) = (x+1)/(x-1), where x # 1, determine f '(1). %3D

A: derivative of fx=x+1x-1 at x=1

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A: We will need the quotient formula to find f'(x) Assume u and v, then find u' and v'

Q: If f(x) + x²[f(x)]³ If f(x) + x´[f(x)]° = 10 and f(1) = 2, find f'(1). [(x)/ DETAILS

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Q: Find the derivative of the following function. f(x) = 14 f'(x) =

A: