Below is the graph of y=f'(x), for some function f. Using the graph of the derivative of f, determine the following. If any cannot be determined based on the graph alone, explain why. (View Pictures Below) Critical points of f′

Q: I understand the conditions under which a function is differentiable. Is there a function, let's…

A: It's impossible to find a function for which we can't find the derivative. Mathematically you can…

Q: Find the second derivative f"(x) for f(r) = e%x²+9_ %3D [Hints: First find the derivative of given…

A: Given, fx=e5x2+9

Q: Find the x-value(s) where the graph does not have a derivative. The x-value(s) where the function…

A: Given: There is a sharp point at x = 1. So, the function is not differentiable at x = 0.

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

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Q: The graph of a function is shown together with the tangent line at a point P. y 2 1 2 Estimate the…

A: According to given figure derivative of given function at point P is equal to slope of tangent Now,…

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: Using the definition of the derivative, find f'(x) for the following function. 3. f(x) = x² – 3x + 8…

A: Here We have to use the definition of the derivative.

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: Consider the graph of y = (2) shown below in blue. Estimate the value of the derivative at z1. Then…

A: From the given graph we can see that the slope of tangent to f(x) at x = 1 is close to -1

Q: Here is the graph of the derivative of a continuous function f: R → R. What would we see on the…

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Q: 100 The derivative of the function 1 is equal to ecos z

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Q: In the left-hand column below are graphs of two functions. In the right-hand columns are graphs of…

A: When function is increasing its derivative is positive but when function is decreasing ,its…

Q: Consider the derivative function 8³ –4/E k (x) = 3 sin æ + What is the general antiderivative of k?…

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Q: Approximate the second derivative of the following functions. Determine and compare the error…

A: We need to find approximate value and error.

Q: Here is the graph of the derivative of a continuous function f: R R. What would we see on the graph…

A: Given that a graph of the derivative of a continuous function f:R-->R.

Q: ) Find the derivative of y for all functions the following (2) y = 3 log3(log, t), %3D

A: We have given function y=3log8log2t Then, dydt=ddt3log8log2t=3ln8log2t1ln2t=3ln8ln2tlog2t

Q: Can anything be said about the graph of a function y = ƒ(x) that has a continuous second derivative…

A: given

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

A: Given that: Graph of a function.

Q: 1. • Let a be an unknown constant and 1 f(x) = VT + +a. Find the derivative of f(r) with respect to…

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Q: Compute the derivatives of the following functions. Find the value of the function and the slope at…

A: Solution is given below:

Q: 8. Evaluate the derivative of the function y with respect to x. y = 5*e*

A: This question is related to differentiation, We will solve it using given information.

Q: Find the equation of the line tangent to the graph of f(x) = (In x)? at x= 8.

A: f(x)= (lnx)2

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

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Q: Compute the derivatives of the following functions. Find the value of the function and the slope at…

A: Given:     a(x) =3x+cosx

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: 5 Find the f" of f(x) x4 II

A: The given function is fx=5x4

Q: a. Find the derivative of f at x. That is, find f'(x). b. Find the slope of the tangent line to the…

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Q: .0 The derivative of x" at x = e is equal to :Select one a. False b. True

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Q: f (x) = 1

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Q: 4. Given the function f(x) = Vx – 4, use the definition f (x) f(x + h) – f(x) lim h →0 to h (a) find…

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

Q: Given the function y = x(x + 1)3. Determine the value of its second derivative at x = 1.

A: Given the function  y=xx+13. We have to find the value of its second derivative at x=1.

Q: ind derivative w.r.t.x: f(x)=x3 -x. Al

A: Given,         f(x)=x3-x

Q: 3. Calculate the derivative of the following functions. DO NOT SIMPLIFY a. f(x) = tan (In(x) +x² –…

A: Trigonometris identities d/dx(tanx)=sec2x d/dx(in(x))=1/x d/dx(xn)=nxn-1 d/dx(sinh(x))=coshx…

Q: The first derivative of a continuous function y=f(x) is given, find y’’ and then sketch the general…

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Q: The graph of the second derivative of a function f(x) is shown at right. Which of the following…

A: Given graph is

Q: 1) Find an equation to the line tangent to y = (x – 3)² at x = 0. %3D 2) Suppose the graph of f (x)…

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Q: 3.) f (x) 3 5х — 3

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Q: 1. The graph of function f(x) is given. Sketch the graph of the derivative function f'(x) below the…

A: We will sketch the graph of f'(x) as following. And also the question you asked is answered down…

Q: [4] For the Basic Absolute Value function f(x) = x, (a) state its slope (derivative) function (b)…

A: The absolute value function, |x| is defined as follows. |x|=xx≥0-xx<0   The graph of |x| can be…

Q: Draw a graph to match the description given. F(x) has a positve derivative over (- 0,-4) and (0,8)…

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Q: Consider the second derivative function f" (x) = 3x² + 4x – 1. Find f (x) if fº (0) = 7 and f (0) =…

A: See the attachment.

Q: The graph of a function is shown together with the tangent line at a point P. y 6 P 1 2 3 5 7…

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Q: Consider the following. f(x) = x^2/x+7   Find the derivative of the function.   f '(x) =…

A: Given function: Now,

Q: Consider the derivative function g (x) = 3 cos (4x – 1). %3| What is the general antiderivative of…

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Q: What is the derivative of f(x)=−3cos(x)+4sin(x) at the point x=π/3? Enter an exact answer.

A: Given,  f(x)=−3cos(x)+4sin(x)   We have to find the derivative of fx  at  x = π3

Q: Draw a graph to match the description given. f(x) has a positive derivative over (-∞, -1) and…

A: Here, given that the function f(x) has a positive derivative over -∞,-1 & (-1,7) and a negative…

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…