Sketch the graph with details of the function below by using the first and second derivative tests. Show complete computations of relative extremum and concavity. Y= x²-3

Q: Use the first derivative test and the second derivative test to determine where each function is…

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Q: f (x) = 2л2 + 5

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Q: Use the graph of the function f(x) to sketch the graph of the derivative f’(x)

A: We have to graph the function f(x) and its derivative.

Q: Given function: y = x* – 4x3 +2

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Q: In the following, find the first derivative: 13. y (3-x)(x -x + 1) 14. y = (x - 1)(x %3D

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Q: Use 1st and 2nd derivatives, sketch the graph of given function 2x x² - 1 f(x) =

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Q: Find the maximum and minimum values of the given functions using the Second Derivative Test and…

A: Given y=x2-25   ..... (1) The first derivative of the given equation is, dydx=2x Now, dydx=0⇒x=0

Q: Find any relative extrema of f(x) = x°e* as ordered pairs. Use the Second Derivative Test to…

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Q: If f(x) = use the definition of the derivative to find f.

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Q: Use the definition of a derivative to find ƒ'(x). f(x) = 9 f'(x) = Preview

A: Consider the function  fx=9

Q: y = x³ – 3x2 + 3

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Q: Find the derivative. (Hint: take the natural log of both sides.) y = x3x

A: We will take log on both side to get the answer.

Q: Sketch the graph of the derivative for function shown.

A: Graph has a horizontal tangent between x=-2 and x=-1, at x=0 and at x=2.9, Therefore graph of f'…

Q: FInd the derivative.

A: Find derivative of

Q: Given f(x) : , find f'(-1) using the definition of a derivative. x-2 Provide your answer below: f'(…

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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: Sketch the graph of the derivative for function shown.

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Q: The function graphed above has: Positive derivative on the interval (s) Negative derivative on the…

A: Given that: Graph of a function.

Q: Tryto guess functions that have the following as their derivatives. 2x

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Q: Find the derivative of the function. y=4arcsin(x/2)-xsqrt(4-x^2)

A: Here given  Use the product rule of derivative which states  Also, use the formula of the…

Q: O Use 1st and 2nd derivatives, sketch the graph of given function 2x x² - 1 f(x) =

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Q: Find an equation for the function f that has the given derivative and whose graph passes through the…

A: Given, f'(x)= sec22x; π2, 0

Q: Use the first derivative test and the second derivative test to determine where each function is…

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Q: Sketch the graph of the derivative for function shown.

A: Plot the derivative for -∞<x<0. The function f(x) is constant in the interval -∞<x<0 so…

Q: Suppose the derivative of the function y = ƒ(x) is y′ = (x - 1) 2(x - 2)(x - 4). At what points, if…

A: It is given that, the function f(x) has the derivative

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: y = x* – x

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Q: The function graphed above has: Positive derivative on the interval(s) Negative derivative on the…

A: The derivative of the function is dy/dx, which represents the value of slopes at different points in…

Q: 1+x y = 3-x2 ||

A: Derivatives can be defined as rate of change of function with respect to an independent variable. It…

Q: Consider the function: y = -3x3ex Find the first derivative of the above function.

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Q: Use the Quotient Rule to find the derivative of the function. 2х — 3 g(x) x - 1 g'(x) = %3D

A: Given that gx=2x-3x2-1

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

A: Solution is given below:

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

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Q: Let f(x) = square root ( 4x + (3x -5)10 ).Find the equation of the tangent line to the graph of the…

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Q: When looking at the graph of an original function, how do you know when the derivative of the…

A: To find the derivative, for your visualization, just draw the graph and the graph of its derivative.…

Q: Find any relative extrema of the function f (x) = x³ - 3x². Then, sketch a graph of the function.…

A: Let f(x)= x3-3x2. We need to find the extrema of the function by using first derivative test and…

Q: Draw graphs of functions with the following properties. A function with a positive, decreasing…

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Q: Find the first and second derivatives of the following functions and use them to sketch a graph. f…

A: Please refer to the image below

Q: Make a sign diagram for the first and the secon derivatives and then graph the function…

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Q: The graph of function f(x) is shown below. At which value of a is the derivative of the function…

A: The graph of the function

Q: 1/3 for

A: Answer

Q: Sketch the graph of the function f whose derivative has the given graph

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Q: Find an equation of the tangent line to the graph of the given function at the specified point. x2 -…

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Q: Suppose the derivative of the function y = ƒ(x) is y′ = (x - 1)2(x - 2). At what points, if any,…

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Q: Find the derivative of the function. y = 9tan−1(x-sqrt(1+x2))

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Q: 10

A: The graph of derivative is made by observing the slope of given function

Q: Use the first derivative test to determine the relative extreme values of the function. below. a.…

A: local minima or relative minima is a point on the x-axis at which function has the lowest output…

Q: a) Use the definition of the derivative to find f '(x), given f(x) = 4x² – 1.

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

Q: Find a function with the given derivative whose graph passes through point P f'(x)=x-4, p(1,7)

A: Integrating on both sides, we get