2) Given the following: f(2)= 5, f(5)= 7, f'(2) = a, and f'(5) = b a) What is f-1(5)?

Q: Using the figure below, where f' (2) = 2.1.f' (4) = 3.0,f' (6) = 3.7.f' (8) = 4.2, find (f-1)' (8).…

A: Use the properties of function and its inverse than take the derivative and put the given values…

Q: If f (x) = Vsin¬1 (2x²) , then f' (x) = (sin¯"(2z²))*-/1–4z“ True False

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Q: Area = 2 Area = 1. Area = 3 3 5 7 Area = 7 Graph of f' The figure above shows the graph of f', the…

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Q: f(1) = (r + 2x + 8)4

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Q: Shouldn't the 6 be divided by a two, so f'(c) = 3?

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Q: Syppese that f(5) =! f'(5)= 5)=-3 g(5)=7 and a) (5)

A: Given:- Suppose that f(5) = 1,f'(5)=4 ,g(5)=-3, g'(5)=7   a) (fg)'(5)   b) (f/g)'(5)   c) (g/f)'(5)

Q: If f'lx)=4x³+ 3x²+1 and fe)=S, what is feoi)?

A: Given,            f'x=4x3+3x2+1 and f1=5To find : f-1

Q: If f(2) =-3, g(2) =4, f' (2) =2- and g' (2) ==, then (2) - o' (2) =,

A:

Q: If f(5) = 1, f'(5) = 6, 9(5) = –3 and g' (5) = 2 determine: а) (f x 9) (5) b) (72)'(5).

A: Recall: Product Rule: fg'(x)=f'(x)g(x)+f(x)g'(x) Quotient rule: fg'(x)=g(x)f'(x)-f(x)g'(x)[g(x)]2

Q: 6. If f(x) = 7 + + find f'(x). Find f''(x).

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Q: 6) L (x- 3)(x + 2)? dx

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Q: let f(2)=3, f'(2)=4,g(2)=3,g'(3)=2. find (g o f)'(2)

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Q: 2 9. If f(x) =-(x- 5), determine the following %3D 3 f(17)- f(8) а) 17-8 (12)- f (4) b) 12 - 4

A: The given function    f(x)=23x-5

Q: Suppose f"(x) = 30x - 16, f'(- 1) = 33, and f(- 1) = - 23. Then f(x) = %3D

A: see below the answer and calculation

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: Given that f is one-to-one and f(2)=1, f'(2)=3, f(3)=2, f'(3)=2, deduce, if possible, (f-1)'(2)

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Q: Given f'(a) < 0, what do we expect is true for f(a +0.5) ?

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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: If '(3) = -1 and h'(1) = 5, then "(r)dr= (A) -6 (B) 4 (C) 5 (D) 6 (E) 9 (F) 11

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Q: Given f () = 7z - 5 and f'(-3) = – 3 and f(- 3) = -1. Find f'(z) 95 5x- 2 - and find f(3) =

A: Given, f"(x)= 7x-5 f'(-3)=-3 f'(-3)= -1

Q: The answer was correct but I don't understand, how you got the number 2 on the last line. G'(5) = 2…

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Q: Evaluate f"(c) at the point. 9) f(x) = In (4x - 3), c = 1 10) f(x)=3x2-3, c=1 3x - 4 11) f(x)= 4x-3'…

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Q: True or false: If f(0) = 0 then f'(0) = 0.

A: The question is asking whether it is always true that if a function f has a value of 0 at x=0, then…

Q: F(x) = 3Jx#6 + K Given find the value of k if f(-3) =19 f'-2) =- 3 ·

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Q: If f(x) = (-3x6 + 3x³ - 1)(2x7 + 3x4 + 4), compute f'(-1). f'(-1) = X

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Q: f (2) = (2³ + 8) e², f' (8i) = re®,

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Q: 7 f(x) = 2x' + х— 2 + f'(x) = 2.

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Q: Let I +1 f(z) = I + 10 f(- 5) :

A: