A graphing calculator is recommended. Use a graphing calculator to estimate the x-coordinates of the inflection points of the function, rounding your answers to two decimal places. [Hint: Graph the second derivative, either calculating it directly or using NDERIV twice, and see where it crosses the x-axis. Enter your answers as a comma-separated list.] f(x) = x5 - 7x3 + 5x + 1 X =

Q: The derivative in question, solve f´(2) if f(x) = x^3 – 6x^2 + 9x + 3 Determine the largest and…

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Q: In , the derivative of the function has the same sign for all x in its domain, but the function is…

A: The given function is fx=xx2-4. Sketch the graph of function fx=xx2-4 as shown below.

Q: Find the x-coordinates of all local maxima using the second derivative test. g(x) = a - 3x + 2

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A: Given function is fx=-4x2+11x.

Q: Use the first derivative test to determine the local extrema, if any, for the function f(x) = 3(x -…

A: Given that a function f(x) and we find local extrema. For local extrema we do first derivative of…

Q: The degree of the derivative of f(x) = (3–x)'(x – 12)° is

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Q: Use the first derivative test to determine the relative extreme values of the function. below. a.…

A: We have to determine the relative extreme values of the function using the first derivative test.

Q: Find the point on the graph of the given function at which the slope of the tangent line is the…

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Q: Given the following function,f (x)= -x^2-10x-25 , use the second derivative test to decide whether…

A: Now the equation(function) given in the question f(x)=-x2-10x-25

Q: Find the x-coordinates of all local maxima using the second derivative test. p(x)=x7+4x6+10

A: Again differentiating with respect to x, we get

Q: Find the slope of the line tangent to the graph of each function at the given point. f(x) = x3 - 2x;…

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Q: The derivative of the function f(x) = 4x-1 is

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Q: Given f(x) = -x – 8, find f' (9) using the definition of a derivative. Provide your answer below:…

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Q: Use a graphing calculator to find ƒ′(2), ƒ′(16), and ƒ′( −3) for the following when the derivative…

A: The given graph of the function is:

Q: Given f(x) = -7x - 2, find f' (5) using the definition of a derivative. Provide your answer below:…

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Q: Find the point on the graph of the given function at which the slope of the tangent line is the…

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Q: Find the indicated derivative.f '(x) for f(x) =(x + 3)(x − 4)x2 + 4

A: Given function f(x) = (x+3)(x-4)x2+4differentiating this function with respect to x we get…

Q: Find the absolute maximum and minimum, if either exists, for f(x) = x - 8x + 9. Find the first…

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Q: Given that f(-5)=-5  and f'(-5)=-10 , find an equation for the tangent line to the graph y=f(x) of…

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Q: Find f'(x) and find the equation of the line tangent to the graph of f at the indicated value of x.…

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Q: Use the numerical derivative feature of a graphing calculator to find the derivative of each…

A: we have to find derivative of f(x) at x=-1,where f(x) is given by

Q: Given the function f, find the slope of the line tangent to the graph of f -1 at the specified point…

A: Find the slope of the line tangent to the graph of f -1 at the specified point on the graph of f -1.

Q: Given f(x) = -x² – 4x – 6, find f' (4) using the definition of a derivative. Provide your answer…

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Q: Given f(x) = 3 – 8x, find f' (-9) using the definition of a derivative. Provide your answer below:…

A: Given f(x)=3-8x To find f'(-9) by definition of derivative

Q: Find f′​(x) and find the equation of the line tangent to the graph of f at the indicated value of…

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Q: The derivative of the function has the same sign for all x in its domain, but the function is not…

A: The derivative of the function has the same sign for all x in its domain, but the function is not…

Q: Find the slope of the tangent to the graph of the given function at the indicated point. g(x) = 9x2…

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Q: Suppose the derivative of the function y​f(x) is (x-1)^2(x-5)(x-2). At what​ points, if​ any, does…

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Q: Find the derivative of the function.

A: Differentiation is the process of finding the rate of change of one variable with respect to another…

Q: Given f(x) = –3x² – x + 15, find f' (-3) using the definition of a derivative. Provide your answer…

A: f(x) = -3x2 -x +15 find f-1(-3)

Q: Use the first, and second, derivative (given below) to find the intervals of increase/decrease and…

A: Follow step 2 and 3 .

Q: Given f(x)=√x + 3, find f'(-2) using the definition of a derivative. Provide your answer below: ƒ'(…

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Q: Find f'(x) and find the equation of the line tangent to the graph of f at the indicated value of x.…

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Q: Does knowing that a function ƒ(x) is differ-entiable at x = x0 tell you anything about the…

A: Given:Does knowing that a function ƒ(x) is differentiable at x = x0 tell you anything about the…

Q: Find the point on the graph of the given function at which the slope of the tangent line is the…

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Q: Given the graph of the function f(x) below, estimate the slope of the tangent line to the curve at z…

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Q: Find the value of x for which the derivative is zero. y=x3+4x2-3x-5

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Q: Given the graph of f(x) below, find the graph of the derivative of f(x). -6-5-4-3-2- 1 2 3 4 5 6

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Q: Find the derivative of the function. g(x) = 3(4 − 9x)5/6

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Q: Given the graph of the function f(x) below, estimate the derivative of the function at z = -2.…

A: As we know that, The derivative of the function at a point is equal to the slope of the tangent line…

Q: Select the correct graph of the derivative of the functionf (x) given below. -4 -2

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Q: The derivative of 4.x5 is f(x) f(x) = Зх-2

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Q: Use the derivative f'(x) = (x - 3)(x + 4)(x + 4) to determine the maxima and minima of f and the…

A: f will be increasing if f'(x)>0. From the graph of f'(x) we see f'(x)>0 when x>3 [because…

Q: The derivative of the function has the same sign for all x in its domain, but the function is not…

A: Given, f(x) = x(x2 − 4) To prove f(x) is not one to one

Q: Find the indicated derivative for the function. -5 -6 h'(x) for h(x) = 6x 4x h''(x) =

A: Given: hx=6x-5-4x-6We need to findh''x=?

Q: Find the relative extrema of the function, if they exist. Use the First Derivative Test to state if…

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Q: Find the derivative of the function and evaluate f '(x) at the given value of x. f(x)=5x+4/5x-4;x=5…

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Q: a) Use the definition of the derivative to find f '(x), given f(x) = 4x² – 1.

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: Find the slope and the equation of the tangent line to the graph of the function at the given value…

A: Topic = Derivative