Question 1 of 12 <> Find f(x)dx if f(x)dx = 2 and f(x)dx = - 6. -2 1) Note that in this problem, f(x)dx -2 | f(x)dx = + f(x)dx

Q: Find the second derivative of the function y=x(x² – 1)² A) None of the given choices B) 2x(5x2 - 6)…

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Q: Choose the correct answer by using the Product rule of derivative. d dx - (x4.x7) is equal to…

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Q: If f(x) - 5', show that f(x + h) – f(x) 5" h h

A: given that f(x)=5^x

Q: Help Given f"(x) = 8x - 2 and f'(- 2) = - 2 and f( - 2) = 3. %3D %3D Find f'(x) = %3D and find f(3)

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Q: 3. When is the function increasing and when is it decreasing? f(z) = re==z3)? xe 2 f(x)=xe 4X2)

A: Solution:

Q: a) The graph of a function f(x)is given below. What are the solutions of the inequalities below?…

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Q: Question 5 x3+5 Determine f '(x). f (x) = (A 1- 10x-3 B 3x2 3 2 (D 5x4 + 10x 2.

A: Given: fx=x3+52   As we know that; The sum./difference rule: f±g'=f'±g' The Power law; ddxxn=nxn-1…

Q: ƒ (x) = − ½-|x| − 14x^8 +7   is this a function if so how and why

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Q: 3x2-7x+8 f(x) = Find f'(x) %3D sin (5x2+9x-6)

A: Here we use division rule of differenciation.

Q: Evaluate ∫4x+5/(3x+2)(x+3)dx

A: Given Integral: ∫4x+53x+2x+3dx   To find: Evaluate the given function. Formula used: i) Partial…

Q: First derivative of ₂ F₁(x): d a {2 F₁ (a, b; c; x)} = dx a.b с 2F₁ (a +1, b+1; c + 1; x)

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Q: Evaluate (*(x-2) (х-1)3

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Q: Consider the function f(x)=5√x+9x^3+6x f′(x)=

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Q: Show two ways to differentiate ƒ(x) =

A: The function f(x)=1x10. We have to differentiate this function.

Q: vertical asymptote(s): horizontal asymptote(s):

A: Since multiple subparts are asked, I am answering first 3 subparts

Q: By using False Position for f(x) = x3 - 4x +4 (XL=-3; xU=2) xr will replace

A: This is interesting question but before the solution we must know about the  false position method…

Q: 7x +5 5x +1 Evaluate the derivative of y = In where x = 3.25.

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Q: 2. Prove that d [(2x+1)³] (2x+1)³(4x-19) (x-3)² dx = Then, -5 (2x+1)(8x-38) 3(x-3)² dx.

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Q: x4

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Q: Differentiate the function ƒ(x)=(4x+3/5x−2​)^3.

A: fivenf(x)=(4x+35x-2)3 diffrentiate by division rulef'(x)=3(4x+35x-2)3-1((5x-2)4-(4x+3)5(5x-2)2)

Q: First derivative of ₂ F₁(x): dx {2F₁ (a, b; c; x)} = a.b C 2F₁ (a+1, b+1; c+ 1; x)

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Q: Let f(x)=8+ √6x-3. Find f¹(z). f-¹(x) =

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Q: 2x+3 Find the domain of the function H(x)=- x' - 4x %3D

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