Find the relative extrema of f(x) = 2+ 90r 5x using both first and second derivative tests. f(x) has a relative Choose onev at the point (?,?) Choose one maximum

Q: Let f(x) = x² – 8x – 14 Use the second derivative test to find any local maxima and minima. First,…

A: for critical value put first derivative zero if second derivative positive minima and if negative…

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

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Q: find the extrema (minimum and maximum) of f(x) = x2-1 on (-1,2). If none, explain why.

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Q: Perform a first derivative test on the function f(x) = /x In 4x; (0,0o). a. Locate the critical…

A: Given functionfx  =x ln4x     ; 0,∞

Q: The function f(x) = 2x3 – 42x? + 240x + 1 has derivative f'(x) = 6x² – 84x + 240. f(x) has one local…

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Q: Use second derivative test, If f(x) = 25x + 10 then f(x) has a 3 local maximum at the point_

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Q: 1. Use the first derivative test to find the local minimum and maximum points of the graph of f(x) =…

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

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Q: The function f(x) = −2x³ + 3x² + 36x has two critical points, c₁ and c₂. Find them and use the…

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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: Hi, I need help with this step-by-step. Please.

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Q: Find the relative maxima and minima of y by the second derivative test:    y = 2x / 1-2x

A: Given- y=2x1-2x To find- The relative maxima and minima of y by the second derivative test: Concept…

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

A: fx=xlnx Differentiating with respect to x, we get f/x=dxdxlnx+dlnxdxx    Because,…

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: Find the local maximum and minimum values of f using the Second Derivative Test. If the Second…

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

A: The function is fx,y=x2+y2+4x+5. The critical points of the function is the points where fx=0 and…

Q: Consider the function f(x) = 52° + 12x – 7. %3D (a) Find the derivative f'(x) and hence the critical…

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Q: 6. Find all critical numbers and use the Second Derivative Test to determine all local extrema. a)…

A: for part a see 2nd step. for part b see 3rd step.

Q: b- find any locl maximum and locl minimum values by using first derivative: f(x)=x-2x²

A: We can use application of derivative order to solve the given problem.

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

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Q: Find the x-value for all relative extrema of f(x) using the first derivative test. Specify whether…

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Q: Find the critical point for f and then use the second derivative test to decide whether the critical…

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Q: A function f has derivative f′(x)=x^3(x−1)^2(x+1)(x−2). At what numbers x, if any, does f have a…

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Q: Consider f (x) = x* – 8x2 + 1. a. Find the critical values. b. Use the first derivative test to…

A: We have , f(x) = x4 - 8x2 + 1.  To find : Critical Values.

Q: b- find any locl maximum and locl minimum values by using first derivative: f(x)=x*-2x²

A: Points of local extremum can be calculated by using the first derivative. These are points which…

Q: Use the first derivative test to determine the intervals where f(x) is increasing and decreasing and…

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Q: Let f'(x) = 100x(2x+3)(x-5), use the first derivative test to determine the location of the local…

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Q: The profit function (in millions) for a beverage company for the years 2008 through 2015 can be…

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Q: Find the relative maximum or relative minimum point for each of the function using the indicated.…

A: A) 1) To find maxima and minima using the first derivative test. y=2x3-3x2+4 Let y'=0…

Q: Find the relative extrema of f(x) = 3 +90x – 9x² using both first %3D - and second derivative tests.…

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Q: Find the relative extrema of f(x) = 9+30x – 3x? using both first and second derivative tests. f(x)…

A: A detailed solution is given below.

Q: Find the relative extrema of f(x) = 4+70x – 5x² using both first and second derivative tests. f (x)…

A: Given:- f(x) =4+70x-5x2  To find:- Relative extrema of f(x) using both first and second derivative…

Q: The function f (x) 2x3 – 39x + 216x + 2 has derivative f'(x) = 6x? 78x + 216. f(x) has one local…

A: Function will have a local minimum at a point where the value of the derivative of the function will…

Q: Find the relative extrema of f(x) = 3 + 70x – 7x² using both first and second derivative tests. f…

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Q: Consider the function f(x) = 3x4 + 20x³ – 144x² + 54. (a) Find the critical numbers of f(x). (b) Use…

A: Given,   The function  fx = 3x4+20x3-144x2+54  We have to solve for part a, b and c.

Q: Find all relative extrema of the function f(x) = x² - 4x² + 2 by using the Second Derivative Test…

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

A: The given function is f(x,y)=4x2+2xy2-4x+1

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

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Q: 5. Use the Second Derivative Test to find all local extrema of the function below. (3 points total)…

A: To find the local extrema of the given function f(x)=x4-4x3+2

Q: The function f(x) = 2x³ − 33x² + 60x + 8 has derivative f'(x) = 6x² f(x) has one local minimum and…

A: Explanation of the answer is as follows

Q: Find the relative extrema of f(x) = 4+ 40x – 5x? using both first and second derivative tests. f (x)…

A: Explained below

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

A: Solve by derivative

Q: The function f() = 2x - 33x2 + 168x +11 has derivative f'(x) = 6x – 66x + 168. f(x) has one local…

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Q: Find the x value for all relative extremes of f(x) using the first derivative test. And specify…

A: Given,            f(x) =x2 - 15x - 15x + 1

Q: Find the critical points and extreme values of the function below. Extreme values must by verified…

A: Given,         y=x3-12x+2

Q: The function h(x) = x³ + 28x4 – 1311x³ has a critical point at x = 19. Use the second derivative…

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Q: Use the second derivative test to find the extreme values of the function f(z) = z-3z2-24z

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

A: To determine the critical points of the function fx,y, solve the equations ∂f∂x=0 and ∂f∂y=0…