Use second derivative test, If f() 16% + 10 then f(*) has a local maximum at the point * =-5 * =-2 O * =-4 O * = 5 * = 4

Q: Find the critical points of the function. Then use the Second Derivative Test to determine whether…

A: Critical points make a difference in the behavior of the function. That is, at each critical point…

Q: find all relative extrema of thefunction. Use the Second Derivative Test whereapplicable. f(x)=x^{2}…

A: The given function,  f(x) =x2e-x .........................(1)  differentiate with respect to x

Q: Find the critical point of the function. Then use the second derivative test to classify the nature…

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Q: What derivative tests are available for determining the local extreme values of a function ƒ(x, y)?…

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Q: List the intervals of concavity for f(x) if it has a second derivative of f'(x) = (x +2)(8x - 25).…

A: The given second-order derivative is: f''(x)=(x+2)(8x-25) So, f is concave upward if:…

Q: 1. Using the First Derivative Test, explain why the function f(x) =-2x has no extrema on any open…

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Q: find all relative extrema of thefunction. Use the Second Derivative Test whereapplicable.f(x)=x…

A: Given function is: fx=xe-x Differentiating above with respect to x we get, f'x=ddxxe-x⇒f'x=e-x-xe-x…

Q: ©if g(x, v) = In(),the )If g(x, y) = Int then xgx - vgw in simplified form is [c].

A: We can find the answer as below in the following steps

Q: How can we use the derivative f'(x) of a function f(x) to determine where the local max(s) and…

A: Given query is to provide the procedure to find local max and min with the use of derivative of a…

Q: find all relative extrema of thefunction. Use the Second Derivative Test whereapplicable. f(x)=6…

A: Given:            fx=6x-x2 Second derivative test definition: Suppose that x = c is a critical point…

Q: Locate the critical points of the following function. Then use the Second Derivative Test to…

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Q: State the limit of the derivative f’(x) = square root of x+3, f’(2)

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Q: What derivative tests are available for determining the local ex-treme values of a function ƒ(x, y)?…

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Q: find all relative extrema of thefunction. Use the Second Derivative Test whereapplicable.…

A: Given : f(x)=x+4x

Q: why first derivative is zero at local maximum and local minimum of function in an open interval

A: The first derivative is zero at local maximum and local minimum of function in an open interval…

Q: Find all relative extrema. Use the Second Derivative Test where applicable. (If an answer does not…

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Q: Find the x value(s) of any relative extrema. Use the Second Derivative Test to verify. f(x) = -x3 +…

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Q: ) Calculate the derivative of f1 (x) = 2x4 - 3x3 + 1/2x2 + 3. b) Study the sign of the derivative…

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Q: Using the limit definition of derivative, compute the derivative of the following function. No…

A: by limit definition of derivativesf'(x) =limn→0 f(x+h)-f(x)hf(x) = 3x2-2xf(x+h) = 3(x+h)2- 2(x+h)

Q: Qa/ Explain the rule of maximum and minimum using Derivatives with an example?

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Q: ABANATUAN CITY B. Compute the derivative function f using the definition of the derivative. Show…

A: Using definition of derivatives.

Q: Using the First Derivative Test, what are the local extrema for the function s(x)=−23x3+10x2−48x−1?

A: Given Sx=-23x2+10x2-48x-1

Q: 4. Using the first derivative test to find the location of the local maxima of the following…

A: Given function :

Q: Describe how to use the second derivative test to classify critical numbers. You must state 3 steps.

A: Describe how to use the second derivative test to classify critical numbers. You must state 3 steps.

Q: Find the critical points and the interval on which the given function is increasing or decreasing,…

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Q: Find the maximum and minimum values of the given functions using the Second Derivative Test and…

A: According to the second derivative test, If f'(c)=0 and f''(c)<0 , then f(x) is maximum at x =c.…

Q: 8. Using the second derivative test, find the maximum and minimum points for the function f(x)-x*…

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Q: Find the critical numbers and identify the maximum and minimum points using the First Derivative…

A: to sketch the graph

Q: We have two approaches to classifying critical points as local minima or maxima: the first…

A: To find the local minima and maxima we use both the first and second derivative test  for functions…

Q: Find all relative extrema of the function. Use the Second-Derivative Test when applicable. (If an…

A: fx=x4-8x3+9

Q: What is the derivative of f (x) = 3x³+2x using the limit definition (please use delta x if possible)

A: A detailed solution is given below

Q: Use the first and second derivative to graph the following function. Label all critical points,…

A: Given that: y=4x3-4x2-8x

Q: Find all relative extrema of the function 2x^4 - 8x^3 + 6. Use the Second Derivative Test where…

A: To determine the all relative extrema of the function.

Q: Explain the rule of maximum and minimum using Derivatives with an example?

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Q: If f(x) = x + 4 determine the intervals where f is increasing, decreasing, x +1' use the…

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Q: Find all relative extrema of the function. Use the second Derivative Test where applicable.…

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Q: Find the local maximum and minimum values of f using both First and Second Derivative Tests.…

A: f(x)=x-x4 To find out local max or minimum we take derivative Lets take first and second derivative,…

Q: first derivatives test to find local exterma of f( x) =x3 -12x on R

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Q: 8. Using the second derivative test, find the maximum and minimum points for the function f(x)=x*…

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Q: Find all relative extrema and state the intervals where the function is increasing and decreasing.…

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Q: Find the critical points and the interval on which the given function is increasing or decreasing,…

A: Given a function f(x)=-54x4-253x3+40x2+400x To find the critical points

Q: Find all local maximum and minimum for f(x) = 2x +3x² – 12x using the first derivative test. Show me…

A: Given - fx=2x3+3x2-12x To do - Find the local maximum and minimum using 1st derivative test.

Q: Use the second derivative test. Show Graph. Find all relative extrema of ƒ (x) = xª – 4x³ + 1

A: Given function is  fx=x4−4x3+1

Q: On the interval -2<x<-1/2, the graph of the curve f (x) = 2x° +3x2 - 12x - 7 is: %3D Support answer…

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Q: Find the critical points of the function f(x,y) = x^4 + y^4 - 196xy and use the Second Derivative…

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Q: Use second derivative test, If f(x) = 4x+4 then f(1) has a local maximum at the point I = -3 I = -2…

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Q: Find the derivative at each critical point and determine the local extreme values. y= x^2square…

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Q: olve for the derivative of the function using chain rule.  2. f(x)=4√ -3x4-2

A: 2)

Q: IT Uonsəni (a) Use the Second Derivative Test to find the local extreme values of the function f(x)…

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Q: Appy the second derivative test to find the absolute maximum value on (0, 0) for f(x) = 15-4x

A: Given function is, f(x)=15-4x-250x2