Given h(x) = V. Find the point of inflection of the graph of h and determine where the graph is concave upward and concave downward. Support your answer by graphing the function h(x) = Vx.

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Q: Examine the following functions for maxima-minima and trace the curve a. Y=x* + 1 a?x b. Y= a² –x²

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Q: find all possible functions with the givenderivative. y' = x3

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Q: For what values of x does the graph of f(x)=2x^3+15x^2−36x−5 have a horizontal tangent line?

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Q: Consider the function y = f(x) with the graph below. %3D

A: The given graph is

Q: find the points of inflection and discuss theconcavity of the graph of the function. y=x-\ln x

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Q: Use the vertical line test to identify graphs in which y is a function of x.

A: Vertical line test: If every vertical line cuts the graph only once then the graph will be a…

Q: Find an equation for the line tangent to the graph of f(x) = -6xe" at the point (a, f(a)) for a = 2.

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A: Consider functions g(x) ,g(x+a), and g(x-a). To get the graph of g(x+a) shift the graph of  g(x), a…

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A: Given : f(x)= 3x4 +4x3-36x2+6343

Q: For what x-value(s) is this function not differentiable? x² – 9 f(x) x + 3

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A: Finding the g'(4) from the given conditions.

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A: Given function is fx=x+x2. Definition: Floor function is the greatest integer that is less than or…

Q: Determine the point(s) at which the graph of -8x f(x) 2x - 1 has a horizontal tangent. (x, y) = Need…

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Q: Find the point of inflection of the graph of the function. (If an answer does not exist, enter DNE.)…

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Q: The Range Rf for the function y = Vx is:

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Q: For Exercise, identify the location and value of any relative maxima or minima of the function. 2 y…

A: A relative maximum is a point where a curve goes from increasing to decreasing.  A relative minimum…

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Q: Use the graph of the function f to find approximations of the given values. y 4-

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Q: Find an equation for the line tangent to the graph of  f(x) = 6xex at the point (a,f(a)) for a =3

A: To write down the equation of the tangent to the curve at the given point

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A: Given, y = f(x) = x Let's assume the closest point to (3,0) will be (x, y) then (x,y) = (x, x)…

Q: Match f(x) with its graph without using a calculator. -… (x)

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Q: For what value(s) of x does the graph of f(x) = 4x3 - 6x2 - 144x - 24, have a horizontal tangent?

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Q: find all possible functions with the givenderivative. y' = x2

A: Given function  y'=x2 That is dydx=x2dy=x2dx

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A: To find the slope of the tangent we find f'(x)

Q: For what x-value is the function y = |x+5| not differentiable?

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Q: Determine the value of x when the slope is its maximum for the function f(x)=2cos(3x)

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Q: O For what value of x does the function f (x) = 4x2 – x +1 have a horizontal tangent?

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Q: 8. 4 2

A: In this question we will use basic of calculus i.e use of tangent function. We will write the…

Q: Find an equation for the line tangent to the graph of f(x)=-5xe^x at the point (a,f(a)) for a=3…

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Q: Determine an equation for the line tangent to the graph of the given function at the indicated point…

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Q: Consider the function f(x)=(x+1)(x–1)2, At what value of x will the graph of f cross the y-axis?…

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Q: For which values of x does the graph of  f(x) = 8x3 - 12x2 - 24 have a horizontal tangent? Enter…

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Q: Use the graph of f(x) = [[x]] to graph the indicated function. y = [[2x]]

A: Given function is: y=[[2x]] It is greatest integer function. Given basic function is: fx=[[x]]

Q: Let f(x) = 3x² – 7x + 5. What is the value of x for which the tangent line to the graph of y = f(x)…

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Q: Use the graph of y = f(x) to graph the function g(x) = 2f(x- 1) + 1. y- f(x) AY

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Q: For what value(s) of x does the graph of f(x) = 8x³ – 84x² + 288x – 48 %3D have a horizontal…

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Q: Use Desmos to graph 1) y= Vx, 2) which is -f(x) 3) which is f(-x)

A: Hello! Thank you for the question. We will answer the first question since the exact one wasn't…

Q: 8. Given the function f(x)%=2x3 -5x3 , find the point where the tangent is horizontal to the curve.

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Q: Find the equation of the line tangent to the graph of f(x) = 3 - 2x at x = 3. Provide your answer…

A: Given : The curve is fx=3-2x and point is x=3. To find : The equation of the line tangent to the…

Q: Determine the value of x when the slope is its maximum for the function f(x) = 2cos (3x)

A: Given,  f(x)=2 cos(3x)

Q: . Determine the value of x when the slope is its maximum for the function f(x) = 2cos (3x)

A: Here we have to use the concept of derivatives.

Q: Use the given graph of the function to find the x-values for which f is differentiable. not 1,0

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Q: Given the equation 3x + 2xy -y = 0, evaluate Assume that the equation implicitly defines y as a…

A: We have to find the derivative dydx of the given function.     According to our guidelines, we can…