Fill in the blanks or write "none". You must use calculus and show the tests. The domain of the function f is (-infinity, -2), (-2,2), (2,infinity). The 1st and 2nd derivatives are:  f'(x)= -8x/(x2-4)2 , f"(x)= 8(3x2+4)/(x2-4)3 critical number(s) of f:_________ open interval(s) where f is increasing:_________ open interval(s) where f is decreasing:_________ open inrerval(s) where f is concave upward:________ open interval(s) where f is concave downward:________ type of local extrema and the x-value where they occur:________ x-value of any point(s) of inflection:________

Q: If f(x)=/2x-3. Find f" (x). Also find the domain and range of f"(x)

A: Solution:Given      f(x)=2x-35To find f-1(x) Also find the domain and range of  f-1(x)

Q: Solve for f(x)

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Q: A table for the function f(x) is shown to the right. Use the table to answer the questions below. y…

A: Explanation and solutions is given below....

Q: Write the length L of the rectangle as a function of y.

A: The length of the rectangle can be determined by using the fact that one end is always on y axis and…

Q: Consider the function y = (1x + 1)x. (a) Differentiate y by the product rule. (b) First, multiply…

A: (a) Differentiate y by the product rule as follows: dydx=ddxx+1x      =ddxx+1x+ddxxx+1      =1·…

Q: Find the domain and range of f(x)= (ex)/(1+ex)

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Q: Let f(x) = x + 2. Find equations for the following. For each part, identify what is the input and…

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Q: 2) If f(x) = , then f() : 2x + 3 6x – 5 SHOW ALL YOUR WORK =

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Q: X-3 (c) f (x) = 2x+1

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Q: Find f. f"(x) = 20x + 12x² + 6, f(0) = 6, f(1) = 2 %3D f(x) =

A: Find your answer below

Q: Calculate the value of f(-3) for the function f(x) = 3x^2

A: In order to find the value of a function f(x) at a point x=a, we just replace a at the place of x…

Q: Find f(0), f(-3), f(2x+3) for the function f(x)= -2x^2+x-1.

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Q: Please answer and explain

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Q: f(z +h)-f(z)

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Q: X 0 1 2 Y2(x)= y 1 3 0 (x-x1)(x-x2) (x0-x1)(x0-x2) f(x0) + (x-x0)(x-x2) (x1-x0)(x1-x2) f(x1)+…

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