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: 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: Let f(x) = Find f'(x). 3 5 f'(x) =O

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Q: (a) FOIL out the product f(x)g(x), and then find the derivative of the result. This will give dp the…

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Q: 2т — 3 Consider the function f(x) Compute each of the following. Simplify your answer and use x + 2…

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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: If f(x) = x² m2. find f'(2).

A: We will use simple differentiation rules to solve these questions.

Q: 1. f (x² + 1)(x² + 3x) dx

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

Q: If °f(x)dx = 10 ; /if(x)dx = 1 find f,"ºf(x)d: 1 find f"f(x)d: -9 11 O 9 NONE

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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: Find the following using the table below. 1 f(z) f'(E) g() 4 2 3 3 4. 2. 1 4. 1 3 2 (1),6 (z)6- (1)f…

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Q: Suppose that f(x) 2 4x Find f'(x).

A: use quotient rule for differentiation

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: 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: Suppose that f(x) = 2x4 + 9x2. Evaluate each of the following: f'(1) = f'(-3) =

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: 1 (a) dx + 25x2 4 -

A: Note: - Since you have asked multiple questions, we will solve the first question for you. If you…

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: 1. Find f"(r) for the following functions. 1 (a) f(r) = %3D f"(x) = %3D (b) f(r) = r³/2 – 5x %3D…

A: Given:  a) fx=1x2             =x-2       f'(x)=ddxx-2   Apply power rule xn'=n·xn-1…

Q: the inverse function of f(x) = ax is x+c hat is the value of a + b + c? +C= f-¹(x)= 8x - 7 .-x+3'

A: Topic:- algebra and calculus

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: If f(x) + x²[f(x)]4 = 18 and f(1) = 2, find f'(1). f'(1) =

A: Given

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: Question 7 Differentiate the function. x2 - 4x f(x) : x + 2 -x2 – 4x – 8 A f'(x) (x + 2)2 х? + 4x —…

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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…