The graph of f'(x) is shown. Which graph would best represent the graph of f (x) ? 5 4 3-2 -14 1 2 3 4 5 4 -5 5 4 3-2 -1 1 2 3 4 5 54 3-2 -11 2 3 4 5 54 3-2 2 3 4 5 54 3-2 - 1 2 3 4 5

Q: 1. Consider the function f(x) = x6 - x³. a. Determine the absolute extremum using the First…

A: The given function is fx=x6-x3. a. Find the absolute extremum using the first derivative test. b.…

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: Suppose that the differentiable function y = f(x) has an inverse, that the graph of f passes through…

A: first we find equation of line which passes through (2,5) and slope (m)=1/4 y-5=m(x-2)…

Q: Graph the following function using information from the first and second derivatives. Label all key…

A: Given f(x)=3e-xx+1 Graph this function using the information from the first and second derivative

Q: Let g be a function that is defined for all x, x not equal to 2, such that g(3) = 4 and the…

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Q: Sketch a graph of the function f(x) 2 sin(2x). %3D -77/8-31/4-5n/8-/2 -3/8-7/4-T/8 t/4 3n/8- /25/8…

A: Given function is f(x)=-2sin(2x)We know that period of sin(x)=2πThe period of sin(2x) will be π and…

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: g(x) = 2x^6-5x^4+3x^3-x^2+8x-9

A: Given: g(x)=2x6-5x4+3x3-x2+8x-9 To find: The nth derivative of the function.

Q: QUESTION 2 Let f(x) be a function with second derivative of f"(x) =(x+8)(7x –11)(x – 13). Determine…

A:

Q: In the given question as follows, (a) find the critical numbers of f, if any, (b) find the open…

A: The critical numbers of a function are the values at which the derivative of the function is 0 or…

Q: If f(x) = 2+ |x − 3| for all x, then the value of the derivative f’(x) at x = 3 is

A: Given;. f(x)=2+|x-3| f'(x)= ?

Q: Select the graph of the given function and determine the interval(s) for which f(x) > 0. Ax) = 16 –…

A: For f(x) = 16 - x² * Since coefficient of x² is negative, Therefore the graph of the parabola of…

Q: sketch the graph of a function f whose derivative f' has the given description. f'(x) is negative on…

A: The graph of a function f whose derivative f' has the given description. f'(x) is negative on (1, 3)…

Q: Find f(x) if f "(x) = x -cos x, f ' (0) = 2 and f(0) = -2.

A: To find f'(x) from f"(x), we will integrate f"(x) c=integrating constant Given f'(0)=2 , using that…

Q: Use the definition of a derivative to find f (x) and f"(x). f(x) - 3x2 + 9x + 1 f(x) - F"(x) = Graph…

A:

Q: Here is the graph of the function h(x)on the interval (-5, 5), and part of a line tangent to h(x) at…

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

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Q: ,for x 1 Discuss the contuniuty of f andf'.

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Q: 1 Sketch a graph of the function f(x) = 3 sin 5- 4- -87T -7 -6I -5 -47T -37 -27 27T 37T 47T -2- -3…

A: the amplitude of the function is 3 the time period of the function is  2π1/4=8π

Q: The graph of the first derivative f' of a function f is shown. (Assume the function is defined only…

A: Given the graph of derivative of f,

Q: 1. Below is the graph of f(x) = |x]. Using the left side of the function with the equation y = – x,…

A: The graph of fx=x is given. The equation for the left side of the graph is y=-x and the equation…

Q: 1. Below is the graph of f(x) = |x]. Using the left side of the function with the equation y = – x,…

A: The graph of f(x)=x is given

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

A:

Q: Sketch a graph of the function f(x) = 2 sin(z) %3D 6+ 5 4 3 -6 -5 -4 -3 -2 -1 -- 6 7 -9 -8 -7 2 3 5…

A: How to solve: make a graph of sin(x) and then transform it one by one:

Q: The graph below is of f "(x) for some function f(x) with domain (-∞, ∞) (i.e., the graph of of the…

A: Since you have asked a question with multiple question in a single request, we would be answering…

Q: Select the graph of a function f that satisfies f' 0 on (-0, -1)U(-1, 0).

A: means f is decreasing for x> - 1   means f(x) is concave up on both sides of x=-1

Q: 7. The table gives selected values for the derivative of a function f on the interval -2<x<2. If…

A: The answer is given below

Q: Sketch a graph of the function f(x) : – 2 sin(x + n). - 3- -Зл/2 -5л14 -3T|4 -T/2 -T/4 Зл14 5л14…

A: Graph of sine function

Q: 6. Find the length of the curve given by the graph of the function f(x) = x/x, for x in [1,4].…

A:

Q: A graph of y f(x) is shown. In the same coordinate system, sketch a graph of the derivative function…

A: In the interval -4,-1, the function is decreasing giving a negative to positive slope.

Q: Sketch a graph of the function f(x) = 4 sin %3D - 1 4 -9 -8 -7 -6 -5 -4 -3 -2 -1 -1 3. 4 6. 7. 8. 9.…

A: We use Trigonometry table to find out some values to draw graph

Q: Find the derivative of the function. 92-4x + h(x)= e 18x – 4x2 –1 92-4z++ x2 O b. 9x - 8x² – 1…

A:

Q: The graph of f"(x) , the second derivative of f, is shown below. If the point (2, f(2)) is a…

A:

Q: 2. Below is the graph of f(x) = |x]. Using the left side of the function with the equation y = - x,…

A: Given: The graph of function fx=x as To determine: The complete table  Using left side of function…

Q: Find a formula for (f-l)(x) given that f is one-to-one and its derivative satisfies the equation…

A: We can solve this using idea of function and definition of inverse of function

Q: Find the equation of the tangent line to the graph of the function at the indicated coordinates. 1.…

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Q: If f(x) =2x2 - x3 , find f'(x) , f" (x), f"'(x) , and  f(4) x.Graph f , f' , f" , and f"' on a…

A: Given: f(x)=2x2-x3Differentiating f with respect to x  ⇒…

Q: Sketch a graph of the function f(x) = – 2 sin (x + 4) +: + 1. 5+ 4 3- -37/2 -5/4 -3/4 -T/2 -TU4 3714…

A:

Q: The function f is continuous for all real numbers and the graph of its derivative function f' is…

A: Given The graph of the derivative of a continuous  f

Q: Sketch a graph of the function f(x) : 2 sin +1 6+ 4 -7 -6 -5 -4 -3 -2 -1 -1 1 2 3 -9 -8 4 5 -2 -3 -4…

A: Given: The function

Q: Suppose g is a continuous function on the interval (-5, 4). The graph of g', the derivative of g, is…

A: Suppose g be the continuous function and g' be the derivative of the function g. Critical point: The…

Q: A graph of y = f(x) is shown. In the same coordinate system, sketch a graph of the derivative…

A: NOTE: Refresh your page if you can't see any equations. . the given graph is a parabolic graph and…

Q: A graph of yY = f(x) is shown. In the same coordinate system, sketch a graph of the derivative func…

A: when a line passes through two given points, say (x1, y1) and (x2, y2).  the equation for this line…

Q: Prove without graphing, that the graph of the function has at least two x-intercepts in the…

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Q: * The tangent line to y = f(x) at (-4, 10) passes through the point (-5,-10). Compute the following.…

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Q: Suppose k is the derivative of K, a function with the same domain as k. The function K has one…

A: The function K has one critical point at t =0.Use a number line and the first derivative test to…

Q: The graph of f' on the interval [-3, 2] is shown below. YA (2, 4) y = f'(x) (-1, 1) (1, 1) 1 (-3,…

A: Graph of f' on the interval -3,2 is given.f'&lt;0 for -3,-2f'&gt;0 for -2,0∪0,2f'=0 at x=-2, x=0.

Q: Sketch a graph of the function f(x) = - 4 cos 6+ 4 2 -8л -7л -бл -5л -4л -3л -2л -л) 2л Зл 4л 5л бл…

A: We need to draw the graph of

Q: Consider the function h(x) = ((x^2) - x) / ((x + 1)^2), which has first derivative h'(x) = (3x - 1)…

A: To find the vertical asymptotes, locate and classify all relative minima and maxima and point(s) of…

Q: 5 Let f(x) =x -e*. Find the value of x for which the second derivative f“equals zero. 2

A: