(0 < * < 1) (-1<* < 0) (4) If f(x) = %3D expand f(x) in the form c,P,(x).

Q: f(x) = ln[x(x + 6) 5 (x²+2)4] f'(x) =

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Q: Let f(x): = Compute f(x) f'(x) = f"(x) = = 4 + 6x x

A: given function is  f(x)=4+6xx=4x+6 then computing following :----   f'(x)=ddx4x+6=-4x2…

Q: What is the derivative of f(x) = %3D (² - (z – 1)")* 02 (2 – (a – 1)°) (-3z² + 8z – 3) O2 (2² - (2 –…

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Q: Let f(1) = 1, g(1) = -3,h(1) = 2, f'(1) = -1,g'(1) = 2, and h'(1 d f(x) g(x) dx h(x) Find when x =…

A: Please refer to the image below

Q: Consider the following table xf(x)g(x)f'(x)g'(x) 02 5 0 2 11 -2 3 24 4 1 -1 33 -3 2 3 What is h'(2)…

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Q: |- Let f(x, y) = y²e* +y find fryy

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Q: Find value a  such that f(x)={x^2+2x-1 if x not equal to 1…

A: given,f(x)=x2+2x-1  if  x≠1a                if x=1left hand limit at x=1limx→1- f(x)=limx→1-…

Q: Sketch a graph of a function f(x) that satisfies all of the following. f(-3) = -3, f(-1) = 2, f(2) =…

A: Graph of function using given information

Q: Sketch a graph of a function f(x) that satisfies all of the following. f(-3) = -3, f(-1) = 2, f(2) =…

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Q: What is the domian of f'(x)?

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Q: Find the domain of the function g(x) = /1 – x ln x

A: We have to find domain

Q: e +1 Differentiate the function f(x)= In 5x +1 Se+1 3ex+1 Sesz e3x +1 ,5x +1 e 3e3z Sesz e3x +1 5x…

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Q: Linearize f(x) = (x2 - 3x + 3)2.1 near x = 3. %3D

A: Consider the function  f(x)=x2−3x+32.1

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

A: 1) given function h(x)=f(x).g(x)Derivative w.r.t 'x' by using the product ruleformula of the product…

Q: Find an anti-derivative F(x) of f(x) = 7x³ – 6x² –- 1 satisfying that 7 F(1) = 4

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Q: f(x) 1 2 2 1 3 3 4 -1 f'(x) g(x) 3 4 -3 -2 -1 1-2 3 12 |-4 -1 0 -3 g'(x)

A: According to latest Bartleby guidelines, we can answer only first three subparts, please post other…

Q: Si s(2x)dx = 23. If f is a continuous fiunction and if F'(x) = ƒ(x) for all real numbers x, then (A)…

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Q: 1 Show that f (x) = is Libschitz function on %3D x +1

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Q: Let f'(x)= = (x-1) (x-2)(x+1) and g'(x) = (x+2)(x-3) (x+3)

A: We have to find the interval in which f(x) and g(x) are decreasing.

Q: f(x.y)= arccos( x² + y² - 3)+ In(x² +y° -3) Which of the following is the domain of function (0)…

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Q: (x+3)³ 4(х — 1)2 12 16 f (x) Consider the function 11 + 4. Note that %3D 4 x - 1 (x – 1)2 (x – 9)(x…

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Q: The inverse of function f(x) = x3 + 2 is а) f-1 (y) %3 (у - 2) 1/2 b) f-1 (y) = (y – 2) 1/3 c) f-1…

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Q: 3. (10 points) Determine the value of C such that if r +0 f(r) := V16 + 3x – 4 if r = 0 will be a…

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Q: Let f(2) = (32² – 7)* ( – 7æ² + 8)² f'(x) =

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