For the function g whose graph is given below, arrange the following numbers in increasing order. g'(-2) g'(0) g'(2) g'(4) y y = g(x) 1 3 4 ? Explain your reasoning. This answer has not been graded yet. V V

Q: The above is the graph of the derivative f '(x). How many critical points does the original function…

A: From the graph of function f'(x), number of roots of f'(x) are three. Let f'(x)=ax3+bx2+cx+d

Q: . Find the  n th derivative of each function by calculating thefirst few derivatives and observing…

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Q: Using the derivatives of In x, tell in a complete sentence why Inr is increasing, and why its graph…

A: As per our guidelines, we are supposed to solve only first question. Kindly repost other question as…

Q: g(x) = In tanh-1 x

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Q: Use the graph of the first derivative function  f'(x) to find the interval  on which function is…

A: Given: the graph of the first derivative function  f'(x).

Q: 2. At x 3, the tangent line to the graph of a function f (x) is y = 4x + 5. What is f'(3)? How do…

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Q: 3. Below is the graph of y = f'(x), which is the derivative for some function f. Using the graph of…

A: Disclaimer: Since you have posted a question with multiple sub-parts, we will solve the first three…

Q: 5) Explain why the definition of a numerical derivative does not exist at x = 2 in the graph shown.…

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Q: Find the slope of the graph of the function at the given point.

A: We have the given function as fx=4x5+3x-sinx          ⋯⋯1 As we know that, slope of a function fx is…

Q: Your job is to estimate this special base. In other words, estimate the value of b for which, at…

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Q: . Find the  n th derivative of each function by calculating thefirst few derivatives and observing…

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Q: Consider the function f(x) whose second derivative is f''(x)=5x+3sin(x) If f(0)=2 and f'(0)=3 what…

A: Given : f''x = 5x + 3sinx

Q: For x> 0, find and simplify the derivative of f(x) arctan x arctan(1/x)

A: this is identity.

Q: The table below gives selected values for the differentiable and increasing function f and its…

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Q: Find all possible functions f with the given derivative.  f'(x)= ex

A: The given derivative function is,

Q: use the general power rule or the shifting and scaling rule to compute the derivative  Y= cos4(ϴ+6)

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Q: 4 -4 -3 2 4 -2

A: See from the given graph of the function fx, the graph becomes parallel to x axis at the points x=-2…

Q: Consider the function f(x) whose second derivative is f''(x)=9x+9sin(x). If f(0)=2 and f'(0)=3, what…

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Q: he figure shows the graph of the derivative f' of a function f. yA y= f'(x) -2/

A: “Since you have posted a question with multiple sub-parts, we will solve the first three subparts…

Q: Below is the graph of the derivative f'(x) of a function defined on the interval (0,8). You can…

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Q: Match the graph of f, below, with that of its derivative. -2 -1 1 2 3 4 1- -2 4 6 -4+ -3- -6+

A: This question is related to Functions and its derivative, we will solve it using given information.…

Q: Given the derivative f'(x), find the x-value for all relative extreme for the graph of the original…

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Q: Find the derivatives from the left and from the right at x = 1 (if they exist). Is the function…

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Q: 4. For what values of x does the graph of f have a horizontal tangent if f(x) = V3 x – 2 sin(x).

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Q: Find the derivative for x+1 a)f(x)=- x-4 b)f(x)= sin' 2x Show the work on your notebook, take a…

A: (a) To find: The derivative of fx=x+1x2-4. Formula used: Quotient rule of derivative:…

Q: Find the slope of the graph of the function at the given point.                         f(x) = 4x5 +…

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Q: Find the derivatives from the left and from the right at x = 1 (if they exist). Is the function…

A: Given: f(x)=(1-x2) Find the derivative of given function from the left and from the right at x = 1…

Q: 5. Use implicit differentiation to find y'. a) хеУ 3 х — у

A: Since you have asked  multiple questions in single request  so we  will be answering only first…

Q: the first derivative of a continuous function y=f(x) is y'=x(x-12)^2 .find y'' and then use the…

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Q: Let y = (x² + 3)'. Use the General Power Rule to find the derivative. y =

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Q: Sketch a graph of the first and second derivative for the function f(x) shown:

A: Solution is given below:

Q: For x > 0, find and simplify the derivative of f(x) = arctan x + arctan(1/x). f'(x) = (What does…

A: Given : fx = arctanx+arctan1xx>0

Q: Let f(x) = 33 –x The slope of the tangent line to the graph of f (=) at the point (-5, 8) is The…

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Q: Find the first derivative of the followin the result whenever possible. V4 – x² 1.y = x arcsin=-

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Find the intervals of increasing and decreasing, and intervals of concavity for f(x)=x^2/3(x-4) Do…

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Q: Find points of inflection of the function and determine the open intervals on which the graph is…

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Q: f(x)

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Q: Let f(x) = 9 – x² The slope of the tangent line to the graph of f(x) at the point (-3,0) is The…

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Q: 2. Use the second derivative to find the inflection points and the intervals on which f(x) is…

A: For inflection point, Put f"(x)=0. For concave upward, f"(x) > 0. For concave downward, f"(x)…

Q: 13. Sketch the derivative f'(x) for this graph of f (x):

A: Graph drawing of f'(x) problem...

Q: 1/3 for

A: Answer

Q: (9) = ________________   Find an equation of the tangent line at  x = 9.

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Q: When given a function f(x), describe (in common language) what the derivative function f'(x) is and…

A: Solution 1:   The derivative of a function f(x) of a variable x is a measure of the rate at which…

Q: I found the derivative of f(x), I put  f'(x) equal to zero and obtained cosx=-1/2. What is the next…

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Q: Differentiate the following function. You do not need to simplify the derivative. ƒ'(x) = 5 f(x) =…

A: Derivative of function f(x)=lnx5

Q: Below is the graph of y=f'(x), for some function f. Using the graph of the derivative of f,…

A: We will find out the required critical points.

Q: What do you look for when you need to match the graph of a function with the graph of its…

A: Observe the behavior of graph as the value of x increases.

Q: Consider the function f(x) whose second derivative is f''(x)=8x+8sin(x). If f(0)=4 and f'(0)=4, what…

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Q: 3. Use the graph of y = f (x) shown to sketch the graph of its derivative f'(x). [if on your own…

A: Give function f(x) has graph If you see this graph you will observe that derivative of f(x) will be…

Q: 10.The graph of f'(x), the derivative of f, is given below for -6 Sxs7.On what intervals is the…

A: Option (c) is correct Because f'(x) is greater or equal to zero in that interval. Or we can say…