Question 2 Consider the following table of values: X 4 f(x) 3 4 2 1 f'(x) -5 -6 -7 11 3 g(x) 4 1 2 g'(x) -2 -3 4 6 What is 13/8 -13/8 -7/2 -7/8 1 2 3 O 7/2 d (f(x) dx g(x) x=1

Q: f'(x) = V= and f(1) = 3- I|

A: Explanation of the answer is as follows

Q: Question 14 4. If f (x)= ,then f '(x) equals (1+3x)5 60 A (1+3x) 25 60 (1+3x) 10 - 60 (1+3x) 10 - 60…

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Q: Question number 2.

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Q: If 1 f(x) 1 .3 + 1 + x 4 X° + 3 then find f'(0) +

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Q: h(x)= Find f(x) such that h(x) = (fog)(x) and g(x)= 10 1-x' f(x) = 10 1-x¹0 10 4 1+x

A: We can solve this as follows:

Q: Find the following using the table below. x f(x) g(x) g'(x) 14 74 23 3 1 2 4 3 4 3 h' (2) if h(x) =…

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Q: 52. f(x) = 9/x3 [1, 3]

A:

Q: 1. f (x² + 1)(x² + 3x) dx

A: To evaluate the given integral.∫x2+1x3+3x4dx

Q: Using the definition of the derivative, compute f'(x) for the following functions. (a) f(r) = -3 (b)…

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Q: f f(x)=- X+1 2x+1 1 = (2x + 1)²* 1 (2x + 1)² O 3x+1 (2x+1)²* 3x+1 O (2x + 1)² then f'(x) =

A: Topic: derivatives

Q: Question 3 Suppose that f satisfies f (x) dr = 6 and f(r) dr = -4. Calculate %3D 10 – (1)) dz.

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Q: Find the following using the table below. X 12 3 4 f(x) 3 1 4 2 f'(x) 4 1 2 g(x) 2 4 1 g'(x) 2 3 4 1…

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

A: We have to use application of derivative here.

Q: 1 - f(x) = =+ X 1 x+1

A: Our Aim is to solve f(x)=1x+1x+1-(i)

Q: 6x3 + 5x* + 3x Suppose that f(x) = Evaluate each of the following: x3 f'(-4) = f'(1) = %3D

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Q: 5. Find (f-1)'(c) for the following functions: (a) f(x) = 5x³ + 4x³, c = 9. (b) f(x) = 3t – , c =…

A: We will find out the required values.

Q: 2. Determine the function f (x) for which f'(x) ==++ 3 1 + 8x3 x-2 x2 and f(1) = 7.

A: => f(x)= ∫ f'(x)dx

Q: Integrate the following function f(x)= 6x- + 2x – 5 dr

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Q: Find the following using the table below. x 1234 f(x) 13 4 2 f'(x) 1234 g(x) 3 12 4 g'(x) 1 2 4 3…

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Q: Given that f(3) = 2, f'(3) = -2, 9(3) = -9, g(3) = 3, %3D %3D

A: Given:f3=2, f'3=-2g3=-9, g'3=3To find:f+g'3f-g'3f.g'3fg'3

Q: 9. f(x) dx = 10 and 9. iven dx = -4, evaluate the following. %3D 9. (a) [f(x) + g(x)] dx 9. (b)…

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Q: Question 1 Consider the following table of values: X f(x) f'(x) g(x) g'(x) -2 -3 1 2 3 4 -5-6-7 Find…

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Q: + x² − 5e³, find ƒ'(x). If ƒ(x) = 4eª + x² 4eª

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Q: I'm stuck on this question and I don't know how I should be approaching this. What should I do?

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Q: Find the following using the table below. I 1 2 3 4 f(x) 3124 f'(x) 24 3 1 g(x) 4231 g'(x) 3 4 1 2…

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Q: (vii) If f(1) = 10 and f'(x) > 2 for 1 < x < 4, how small can f(4) possibly be? Give proper…

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Q: 10. f(3x - 1)(x - 1) dx

A: The given integral is:∫-113x-1x-1dx

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: Find the following using the table below. 1 2 3 4 f(a) f'(x) g(x) g'(x) 2 3 1 4 4 1 3 3 4 2 4. 1. 2…

A: Given that h(x)=f(x)g(x) h(x)=f(x)/g(x) To find h'(3)

Q: Find the following using the table below. 3 4 f(r) f (x) g(x) 4 4 4 3 4 (x),6 h'(2) if h(x) f(x) ·…

A: It is given that h(x)=f(x)⋅ g(x), h(x)=f(x)g(x), h(x)=f(g(x)) We have to find h'(2).

Q: 7x-2 , find f (x). Answer: (Correct to 3 decimal places) f'(x) = (-5 x + Let f(x) = %3D -4x-5 1)/(_…

A: fx=7x-2-4x-5 Now let y=7x-2-4x-5

Q: The Mean Value Theorem for problem 3 says that between x=-2 and x=2, there exists a value x=c that…

A: Let, y=f(x) =27-x2Now , f(-2) =27-(-2)2  =27-4=23   and f(2) = 27-22  =  27-4=23   and…