Suppose we have two interesting functions f and g. We have limited knowledge of them as follows: • ƒ:R → (-); f(0) = 0; f'(x) = 12 1 1-2f (¹=²) = r) = g(x) Using this information, evaluate -2f (2-3f(4-4x)). g'(1)

Q: find the function f(x) if f'(x)=(2/1+x2)+(5/7)x5/7 and f(0)=2

A: Given, f'(x)=(2/(1+x2))+(5/7)x5/7

Q: 9. f(x)=T √√5x²

A:

Q: 3. (a) Which of the following functions have 5 in their domain? f(x) = x² - 3x *- 5 h(x) = Vx - 10…

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Q: if you know that f(x)=g(x)+3x and g(4)=6 ,f'(4)=-3, so find me the derivative multiplication for…

A: We have to find derivative multiplication of the given functions

Q: Use the guidelines from section 4.5 to graph the function f(x) = x2/3 (6 – x)/3 For your…

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Q: Suppose g(x) = x²f(x) and it is known that f(2) = 5 and f'(2) = -2. Evaluate g'(2). g'(2) =

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Q: (A) h(x) = 12f(x). %3D h'(2) = %3D (B) h(x) = -119(r). %3D h'(2) = %3D (C) h(x) = 2f(x) + 3g(x).…

A: Given Data: f’(2)=2 g’(2)=-1 (A) h(x)=12f(x) The derivative of the given function. h'x=12f'x For…

Q: x-²²-3 ²-3, determine the x-value(s) where f(x) changes from concave up to concave down. f(x)= Ox=…

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Q: Find a formula for f-(x) and (f-1)'(æ) if ƒ(x) = -V5 – x f-' (x) = (5-1)'(x) =

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Q: If the function f(x) is defined as f(x) = = (4-2√√x)² √x -,x>0 Then, what is the value of ƒ'(16) = ?

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Q: a) f(x) = x28 + e-x 2x + 13 b) h(x) = e³x³-4x²+2 + 5ln(x³3 -x+ eⓇx) c) y = x²2 (12x³ - 25x) 42

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Q: Suppose that f(x) (-4)= (2) = = x¹ + 4x³ − 1 - x² Evaluate each of the following:

A: Given query is to find indicated derivative.

Q: If f'(x) = x(x- 2)(x+1), then the graph of f has points of inflec- tion when x = A. -2 and 1 B. 2…

A: f''(x)= x(x-2)(x+1)2  To find the points of inflection of function f  A. -2 and 1 B. 2 and -1 C. 2…

Q: X=(1)+ wam (xf pulf Z-x7=(x)₂ + £I-E#

A: Topic = Integration

Q: If f is the function f (x) = + 4/x, then f' (4)

A: The function is  f(x)=4x+4x

Q: From the graph of f(x), determine the graph of f'(x). -6 -5 -4 -3 -2 -1 y 6 10. d 3 2 1 O -1 V 2 3 5…

A: Given graph for f

Q: If f(x)=(2/x+3) g(x)=(1/x) To Find (f o g)(x)

A: Given fx=2x+3    gx=1x

Q: If f(28) = 16 and f is one-to-one, what is f'(16)? f (16) =

A: Given that   f(28)=16 and f is one-to-one.

Q: Suppose f(x), f'(x), g(x), and g'(x) have the values shown: -8 - 2 10 -9 -7 - 6 f(x) 3 -7 8 -9 -1 -9…

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Q: If f(x) = x²/(1 + x), find f "(2). f "(2) = L

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Q: Step 2: Step 3: Sten 4:

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Q: Find the inverse of the function f(x) = – 5x² . f-'(x) = The domain of ƒ-' is

A: Solution:- let f(x)=y

Q: Consider the following. f(x)=x²-6x² + 7

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Q: Consider the following function: Step 1 of 4: Determine f'(x) and f"(x). Answer f'(x) = = || - 1x4 +…

A: