f(x) = 3x? – 7 + 6 Use the second derivative test to find any local maxima and minima. First, find the critical point. Enter the x-value below. Then find the value of the second derivative at that x-values. If the function has a local maximum at that value, enter MAX. If it has a local minimum, enter MIN.

Q: Use the first derivative to find all critical points and use the second derivative to find all…

A: The given function is fx=2x3+3x2-180x+6. Obtain the first derivative as follows. f'x=6x2+6x-180 Now…

Q: f(x)=2x^3+3x^2-12x find the critical numbers of (if any), (b) find the open interval(s) on which…

A: Consider the given function fx=2x3+3x2-12x

Q: Find the critical points of the following function. Use the Second Derivative Test to determine​ (if…

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Q: Find the extreme values of the function f on the interval [-5, 5]. If an extreme value does not…

A: From the given function: fx=x2-1x2+1 First, we have to find the critical points, f'x=0. So,…

Q: y=2x+3x^(2/3)  Find critical numbers for the given function, state the intervals where the function…

A: Task: Note: . Now we need to find the derivative of the given function.

Q: Find the x-coordinates of all critical points of the given function. Determine whether each critical…

A: Here we find critical points for given function.

Q: On the graph of f(x) = sin x and the interval [-27, 0), for what value of x does f(x) achieve a…

A: First we draw a graph of sin(x) . Then we get at x=-π/2 sinx  achieve a minimum.

Q: Find the critical points of the following function. Use the Second Derivative Test to determine (if…

A: Given that the function is      f(x,y) = 5 +4x2 +2y2 Here we have to find critical points. Also…

Q: For the function, find all critical numbers and then use the second-derivative test to determine…

A: We use the power rule to find f'(x) and f"(x) f(x)=x4-4x3+4x2+3f'(x)=4x3-12x2+8xf"(x)=12x2-24x+8…

Q: solve f´(2) if f(x) = x^3 – 6x^2 + 9x + 3 a).  For which x is the function decreasing? Show using…

A: According to the given information,

Q: Find the critical points of the following function. Use the Second Derivative Test to determine (if…

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

A: To find the critical numbers we will derivate the function and equate it equal to 0. Here the…

Q: For the function y= x² -8x +20 a. Determine the critical points  b. Use the sign test to classify…

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Q: a. Locate the critical points of ƒ.b. Use the First Derivative Test to locate the local maximum and…

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Q: Let f(x) = 5x? + x + 9 Use the second derivative test to find any local maxima and minima. First,…

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Q: Find the minimum and maximum values of the function y = 181 – ť on [10, 18] by comparing values at…

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Q: Use the first derivative to find all critical points and use the second derivative to find all…

A: f(x) = 2x^3+3x^2-252x+7

Q: The function f (x) = (ln x)>x has a relative extreme point for some x 7 0. Find the point and…

A: Given fx=lnxxandx>0 Objective: To find the point at which relative maximum or a relative minimum…

Q: Find the critical points of the following function. Use the Second Derivative Test to determine (if…

A: We will do partial fraction and find out local Maxima points.

Q: (x)=(x+6)/x^2 find critical numbers? find open intervals on which the function is increasing or…

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Q: Use the first derivative to find all critical points and use the second derivative to find all…

A: Explanation of the answer is as follows

Q: Find the x-coordinates of all critical points of the given function. Determine whether each critical…

A: gx=2x3-24x+8 Differentiating with respect to x, we get g'x=23x2-241+0=6x2-24 Again differentiating…

Q: For the function, find all critical numbers and then use the second-derivative test to determine…

A: The given function is,

Q: Given the function g(x) 4x3 42.x2 + 120x, find the first derivative, g (x). g'(x) = Notice that…

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Q: For the function, find all critical numbers and then use the second-derivative test to determine…

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Q: Find all the critical points of the function?(?; ?) = x^3+y^3-3xy.Determine if they are local…

A: Find the first partial derivative and than test for second partial derivative.

Q: f(x) = −5x3 + 15x + 7   Find the critical numbers of f.  Find the open intervals on which the…

A: (a) From the given function: fx=-5x3+15x+7 As we know that, To calculate the critical points it…

Q: 8. Find the critical point(s) of f(x) = -5x² – x + 4. Use the First Derivative Test to locate the…

A: The given function,  f(x)=-5x2-x+4

Q: f (x) = x² – 3x/3 [0,2]

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Q: Use the first derivative to find all critical points and use the second derivative to find all…

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Q: For each function, perform the following steps: i. Find any critical points ii. use the first…

A: Since you have posted multiple questions, we will solve only first question for you. To getremaining…

Q: Find all critical points and then use the first-derivative test to determine local maxima and…

A: we have to find our the critical points and local minima and local maxima of the function…

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

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

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Q: Use the first derivative to find all critical points and use the second derivative to find all…

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Q: f(x) = x* – 72x2 Enter the critical points in increasing order. (a) Use the derivative to find all…

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Q: For the function, find all critical numbers and then use the second-derivative test to determine…

A: we have to find the critical points and relative maxima and minima at

Q: Consider the function y = -x3 + 3x² – 2. a) Find the critical points. b) Use the 2nd Derivative Test…

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Q: Given the function g(x) 6x + 63x² + 216x, find the first derivative, g'(x). = (x),6 Notice that…

A: We use second derivative test to determine the local Maxima and minima

Q: Find all critical numbers for the following function. Then use the second-derivative test on each…

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Q: (c) Use the First Derivative Test to find the local maximum and minimum values of f. (d) Find the…

A: (c)

Q: Find the x value where the function g(x) = xe-lx attains a local maximum. Enter the exact answer. If…

A: Differentiate y and by solving y'=0 obtain critical points. Check sign of y'' on critical points -…

Q: For the function, find all critical numbers and then use the second-derivative test to determine…

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Q: For the function, find all critical numbers and then use the second-derivative test to determine…

A: Solve by derivative

Q: Use the first derivative to find all critical points and use the second derivative to find all…

A: For the critical point , we differentiate the function and then put equal to zero and then solve for…

Q: 6. For the function f(x) = 3x* – 24x², (a) find all critical numbers. (b) determine the intervals of…

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Q: For the function, find all critical numbers and then use the second-derivative test to determine…

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Q: Find the absolute maximum and minimum, if either exists, for f(x)=x² - 6x + 6. Find the first…

A: We have to find absolute maxima and minima of given function.

Q: Find the critical values and determine the intervals where f (x) is increasing or decreasing for the…

A: The given function is, fx=2x3-3x2-36x+14. The derivative of fx=2x3-3x2-36x+14 is,…

Q: Find critical values of the function. If they exist label as a max/min or IP. Must show and use f'…

A: topic- application of derivatives