The graph of gis shown at the right. Find dF the graph of g at dx x=2, if F(x)= g(x² - g(x)). Hint: Chain Rule. -2

Q: The line in the figure shown below is the tangent line to the graph of g(x) at x = 3. Find g'(3),…

A: topic - slope of tangent line slope of a line passing through (x1,y1) and (x2,y2) is (y2-y1)/(x2-x1)…

Q: (c) Draw simple graphs of the first and second derivatives of the function y = f(x) whose graph is…

A: As per the question, it was asked to draw the simple graphs of first and second derivatives of the…

Q: The derivative of the function g(x) = | Q1 In tdt e-32 9x In(-3x) 9xe-3z -9x In(-3x) -9xe-3z None of…

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Q: a. What does ez dx represent in words? b. Find e dx. c. Graph the function.

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Q: 4 1D 11 12 13 14

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Q: The diagram below shows the graph of the function y=-x +9. Point C (0, c) lies on the curve. Find…

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Q: The graphs below show the first and second derivatives of a function y = f(x). Draw a possible graph…

A: The slope of y=f(x) is as shown in figure (1). From the figure (1) The graph of f'(x) is decreasing…

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Q: The graphs below show the first and second derivatives of a function y = f(x). Find a possible graph…

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Q: Find the derivative of f(a) = exp(-5) %3D Note that exp() here is the exponential function. That is,…

A: givenf(x)=exp(-x22)we know that derivative of ex is exor ddxex=ex

Q: Pr. #1) Find the exact value of So f(x)dx using the graph of f below.

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: Compute the derivative function f '(x) algebraically. HINT [See Examples 2 and 3.] f(x) = −5/x

A: Formula       f'(x)=limh→0f(x+h)-f(x)h

Q: A graph of the velocity function v(t) of an object moving in a straight line is given above.…

A: The velocity time graph of an object is shown above in the question.

Q: Let a kind of bacteria grow in such a way that at time t sec.there are t(3/2)bacteria. Find the…

A: Given that at time t there are t3/2 bacteria.  We need to find the rate of growth at time t = 4…

Q: The graphs below show the first and second derivatives of a function y = f(x). Select a possible…

A: To determine the graph of the function.

Q: Find the second derivative (y") of the given function: 6. y 2-e -6e* +12e-e" (2-e*)" 6e* (2+e*)…

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Q: Q3/ Sketch the graph of f(x) Q4/ By using the definition of the derivative, find dy/dx for y tan x.

A: (3) The graph for x2x+1 is, At x=0 then f(x)=0. At x=-2 then f(x)=-1 At x=1, f(x)=0.5 At x=2,…

Q: Use the figure below to estimate the indicated derivatives, or state that they do not exist. If a…

A: Given:- Use the figure below to estimate the indicated derivatives, or state that they do not exist.…

Q: The graph of the function H(x) is shown below. Use the graph to answer the following. 2 2 3 4 5 Find…

A: Given: The graph of the function H(x). To find: The values of x where the function does not have a…

Q: x is a function of g. find dx/dg if given glnx = tanx2 - eg

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Q: 9) The graphs below show the fint and second derivatives of a function y -fx). Select a possible…

A: The graph of first derivative and second derivative of function is shown above in the question.

Q: The graphs below show the first and second derivatives of a function y = f(x). Select a possible…

A: The f' function has to be the curve shown below: Let us say f' = sin x

Q: The partial graph of fix) log:(x+1)-2 is shown below. 4- 6. On the graph of the inverse of y = f(x)…

A: To find the coordinate of inverse function, we need to switch x and y coordinates of original…

Q: y = f (x) = -3 – 3 * log 1 (-4x + 8) %3D 1. Sketch its graph 2. Specify its D and R 3. Find the…

A: Hey, since there are multiple sub-parts posted, we will answer first three sub-parts. If you want…

Q: 1. Draw a graph of position y as a function of time t. 2. Assume a relationship of the form: y = at"…

A: Given, t = Time in seconds y = position of falling object (meters)  t(s) y(m) 0.42 0.88 0.56…

Q: b. 1 d. 3 6. Which of these functions does not have an average or instantaneous rate of change (at…

A: As per our guidelines we can answer only one question. please repost other seperately

Q: As a fungus grows, its rate of growth changes. Young fungi grow exponentially, while in larger fungi…

A: The given problem is solved below in detail.

Q: Find the linearization of the function given below at the specified point. f(x) = 2 ln(x) at a = 1

A: Linearization is the process of calculating the Taylor polynomial of a function up to the…

Q: Let G = 3f - g, where the graphs of f and g are shown in the figure to the right. Find the following…

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Q: Find the derivative of the function. HINT [See Examples 1 and 2.] g(x) = 8x−1 + 6x−2

A: Recall: df(x)±g(x)dx=df(x)dx±dgxdx dxndx=n xn-1

Q: Consider the function, whose graph y = f(x) is shown below. -3 -2 What is the set of values of x E…

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Q: Use the figure below to estimate the indicated derivatives, or state that they do not exist. If a…

A: Consider the given graph of f(x) and g(x):

Q: Suppose the Lorenz curve for the distribution of income of a certain country is given by the…

A: Given: Lorenz distribution of income for certain country is given by, The Ginni coefficient of…

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

A: The graph of the function passes through the point P.   The graph of the first and second derivative…

Q: Use the graph below to find exact values of the indicated derivatives, or state that they do not…

A: Chain rule of differentiation: The derivative of y=f(g(x)) is given by: dydx= f'(g(x)) . g'(x)

Q: Compute the derivative function  f '(x)  algebraically. HINT [See Examples 2 and 3.] f(x) = 7x2 +…

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Q: 10. For the exponential function y = 2**3 - 1, which properties does the graph of the function have?…

A: Given function is y  =  2x+3 - 1

Q: Let a kind of bacteria grow in such a way that at time t sec. there are t 3/2) bacteria. Find the…

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Q: s» f(x) = (x²+1)+ (2x+1)3(3x-1)5

A: Please refer the attached image for complete solution.

Q: For this equation is about the exponential growth and decay functions. In which rewrite y=a(4)^t/6…

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Q: The graph below is the derivative of the function y=f(x) on the interval æ e (-3, 1] Suppose f(x) is…

A: We need to find f(-2).

Q: 2- The graph shows the first and second derivatives of a function y = f(x). Sketch the approximate…

A: Q2 Given, the graph of the first derivate and second derivative of a function y=f(x). The graph of…

Q: The graph shown is the 1st derivative of function where its domain is R 2 -10 -8 -6 पि A value where…

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Q: 1,0 1,0 -1

A: Given Graph :-   To find:- Let h(x) = f(x) * g(x)    1) h'(1)=   2) h'(2)=   3) h'(3)=

Q: Draw a graph to match the description given. g(x) has a negative derivative over (- 00, - 2) and a…

A: The description of the graph of the function gx is gx has a negative derivative over -∞,-2 and a…

Q: 4. Consider the functions f and g whose graphs are given below. Find the following derivatives y-g)…

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Q: 1) Sketch the graph of y = ln(x+1)

A: given :

Q: The graphs of four derivatives are given below. Match the graph of each function in (a)-(d) with the…

A: shows f'(x)>0 at first , then f'(x)<0, then again f'(x)>0, then f'(x)<0 So f(x) is…