Problem : Find the derivative of the series 32z5 + 4! 2x 4x? 16x4 f(x)=1+ 1! + Also show that 2! 3! 5! f'(x) = 2 f(x).

Q: 2x + 8 Find f'(x) if f(x) x² + 3 f'(x)

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Q: If ƒ(x) = (x² + 4x + 5)², then f'(x) = 4x³ + 24x² +52x + 40 f'(2) =

A: Given f(x)=(x²+4x+5)²

Q: Bring this equation (1+x³)² y" +2x(1+x²)y'+ 4y = 0 to the self-adjoint form, then write the…

A: Hello, I don't understand what is the associated function you are asking. There are many associated…

Q: Find f'(x) if f(x) 9x (8x+2) 4 2√9x²-6 18x+48 5 (8x+2) 4 -9x² +16x+10 5 4(92²-6) 2 (8x+2) 4 6…

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Q: 12x + 10 Suppose that f(r) = Evaluate each of the following: f'(-2) = 5/2 %3D f' (5) = %3D

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Q: Prove that for integers y=1 the equation 3h-n (2x₁ + x₂ + 4x₂) +3² (~1(2x₁+x₂+.+xn-1)+...+3^-1 (2²₁)…

A: We will use contradiction to prove it.

Q: -7 Let f(x) 7xVI + f'(x)

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Q: Given f(x) = 1 –(5+ 10x) + (5 + 10x)² – 27 (5 + 10x)³ then f'(x) =, %3D - (5 + 10z) – ( 5 +…

A: f(x)=1-32(5+10x)+94(5+10x)2-278(5+10x)3 Then f'(x)=0-(32×10)+(94×2×5+10x×10)-(278×3×(5+10x)2×10)…

Q: Find a formula for f-'(x) and (f -1)'(x) if f(x) = V х-2

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Q: 2x? + 5x + 4 (1 point) Find f' (16) if f(x) : f' (16) = -5/2

A: here is quation of derivative we have to derivate function F(x)= 2x3/2 + 5x1/2 + 4x-1/2 f'(x)=…

Q: 7) Find f(x) if f(x) = (103x + 2)2. a) 6 In 10 10x + 4 b) 6. 106x 105x + 3 c) (6x + ○ 4) 4) 106x d)…

A: Topic:- application of derivatives

Q: x+3x + 2 If f(x) = then f'(1) = %3D O 3 07 0 5 0 4

A: By using differentiation property, we calculate the required value.

Q: Problem : Find the derivative of the series 2x 4x2 8x3 16x4 32x5 f(x) =1+ 1! 2! 3! 4! 5! Also show…

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Q: 7 Let f(x) = Find f'(x). (8x2 + 2x – 6)* f'(x) =

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Q: The graph of a continuous function f : [0,9] → R is given below. The function

A: given F(x)=∫0xf(x)dx

Q: Find (f-1)'(a) for f(x) = *+1 2x + 3 2 when a = 5 (Enter an exact answer.)

A: Take f^-1(x)=y. Then find f^-1(x).

Q: 2x + 3 f(x) = In %3D 7r – 7 f'(x) =

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Q: Find dim(Q(a)), where

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

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Q: 옷(x) = 름(x-a) (-x) 16. e E[x] = ?? u(x-a)

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Q: Find f'(x) if f(x) = ln( -(2²+12x+12) (x+6)(x²+2x) -(x+6) (x²+12x+12) (x²+2x)³ x²+2x x+6 -x(x+2)…

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Q: If 4 – cosh a f(x) 3 + cosh x then f'(x)

A: Given function

Q: Find the following using the table below. 2 3 4 1 2 2 4 1 1 3 X 1 f(x) 3 4 ƒ'(x) 1 3 34 g(x) 2 g'(x)…

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

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Q: P(0) = {0} O P(A^) \ {0} C P(A)°

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Q: Substitute the value of y' in 1 + (y)²

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Q: find d/dx 2x^2 -x using derication from first principle through the use of (f(x+h)-f(x))/h

A: Topic = Derivative

Q: 1) f(x)= (x3+2x)6, Then Find f''(x)

A: As per our guidelines we are suppose to solve first question. Kindly repost the other question as…

Q: Evaluate  f '(3). Also, find the two-point forward difference, two-point backward diffrence and…

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Q: nf'(x) =

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Q: -8x Since f'(x) then (x2 - 4)2' (x? – 4)>(D) - (-8x)[2cx? – 4)(Ox)] _ 8 x2 f"(x) (x2 (y2

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Q: Question 8 8. Given f(x) =(3x² + 4x)(x –5). Which of the following is TRUE for f'(x)? (3x° +4x)(6x +…

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