The graph off (x) is shown. Which graph would best represent the graph of f'(x)? 54 3-2 1 1 2 3 4 5 4 -2 2 4 5 4 3-2 -41 2 3 4 5 5 4 32 40 23 45

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: 4x - 4 if x > 2 Suppose f(x) = Find f'(2) using the definition of derivatives. if x < 2

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Q: The diagram below shows the graph of f(z) and its first and second derivatives. By using the graph…

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Q: The function f(x) is defined by f(x) =2. What points (x, y) on the graph of f(x) have the property…

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

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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: shows the graphs of the first and second derivatives of a function y = ƒ(x). Copy the picture and…

A: The graph of y=f"(x) is a linear function. So it is of degree 1.  The graph of y=f'(x) is a…

Q: The diagram below shows the graph of f(x) and its first and second derivatives. By using the graph…

A: As per the question we are given the plot of three curves denoting as : Curve A Curve B Curve C…

Q: Suppose a tour guide has a bus that holds a maximum of 110 people. Assume his profit (in dollars)…

A: Given : Profit function P(n) = n(55-0.5n) - 110 Maximum value of n = 110.   To find : a. How many…

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: The graph of the function y = f(x) passes through the point (-1, 1) and the line tangent to the…

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Q: Find f'(x). 6. f(x) = 4x + 7x f'(x) = Compare the graphs of f and f' and use them to explain why…

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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: 11. Suppose a function is defined so that it has derivatives f'(x)=x²(1–x) and S"(x)=x(2-3x). Over…

A: Given that, the derivatives of a function f is defined asf'x=x21-xf''x=x2-3x We need to find the…

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…

A:

Q: Sketch a graph of the function f(x) = 0.5 sin(3x). 4+ 2 -5/6 -27/3 -T/2 -T/3 -Tt/6 T/2 2/3 5/6 -1 -2…

A: Here is the solution

Q: 4.x Suppose f(r) = if x >2 if x < 2 4 Find f'(2) using the definition of derivatives.

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Q: The graph of the DERIVATIVE, f'(x), is given. Which one of the following is true about the original…

A: Increasing and decreasing function

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: 10. Find a function f such that f'(x) =r' and the line 4x - ļy = 3 is tangent to the graph of f. %3D

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Q: 3. Below is the graph of a function f(x) on the interval [0, 6]. Sketch the graph of its derivative…

A: Given the graph of f(x) on the interval [0, 6] To obtain is graph of f'(x)  on the same interval [0,…

Q: True or False The graph of y = cos x is decreasing on the interval (0, π).

A: True or False The graph of y = cos x is decreasing on the interval (0, π).

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: Find f'(x). f(x) = ex – 2x f'(x) = e-2 %3D Compare the graphs of f and f' and use them to explain…

A: Given  f(x)=ex-2x

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&gt; - 1   means f(x) is concave up on both sides of x=-1

Q: The tangent line to the graph of a function f at the point x =2 has x-intercept 10/3 and y-intercept…

A: Given query is to find f(2) and f'(2)

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: Let f and g be the functions defined for x > 0 by f(x) = (Væ)* and g(x) = (Vx)** Which function is…

A: According to the given information, Consider the function f and g defined as:

Q: The figure shows the percentage of the U.S. popul ati on, f(x), made up of teachers as a function of…

A: Given graph is,

Q: A nonnegative function f has domain (0, ∞). At each point P(x, y) on the graph of f, the tangent…

A: Given problem:- A nonnegative function f has domain (0, ∞). At each point P(x, y) on the graph of f,…

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

A:

Q: Suppose the only information we have about a function fis that f(1)=2 and the graph of its…

A: Ti find the linear approximation.

Q: Make a graph of the functionƒ(x) , for x ≥ 1. Be sure to include all of the evidenceyou used to…

A: Given:  The function fx=∫1xdtt for x≥1, To sketch: The graph of fx for x≥1,

Q: he tangent line to y= f(x) at (-7, -6) passes through the point (-9, -2). Compute the following.  a)…

A: GIVEN DATA : Equation y=fx                         Tangent of the y=fx at -7,-6 passes through the…

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: 11. Use the definition of the derivative to find f'(x) for the function f(x) = x2 + x + 2. Show your…

A: We have to find the derivative of the given function.

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: 2-Find the instantaneous rare of change for the above function at X = 3

A: 2. Let fx=1x2, x0=3

Q: 5. Find a function f(x) whose derivative is f'(x) = +1. (Hint: (x + 1)/x=1+1/x)

A: 5) derivative of a function is given, to find the function we have to find the anti derivative of…

Q: The diagram below shows the graph of f(z) and its first and second derivatives. By using the graph…

A: As we know higher degree polynomials have more potential minima or maxima points.

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: The crime rate of a certain city is decreasing by exactly 3%each year. Let t=0 correspond to the…

A: The function that represents the continuous decrease in number of crimes is given by:

Q: 4) Sketch the graph of the derivatives f' of the given graph below on the same grid.

A: The derivative of a function at a point is the value of the slope of the tangent to the function at…

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…