Find all critical numbers for the function f(x)=1/(x^2-9)

Q: Find any critical numbers for ƒ and then use the second derivative test to decide whether the…

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Q: Find the minimum and maximum values of the function y = 8Vx² + 1 – 7x on the interval [0, 8] by…

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Q: Let f (x) = -sin x/3). Find all critical numbers (if any) of the given function in the interval (0,…

A: For the critical point , we differentiate the function and then put equal to zero f(x) = -sinx1/3…

Q: Find the number x in the interval-;,1| so that the difference of the number from thrice'its cube is…

A: How to find point where the function f(x)  is minimum: find f'(x) and solve f'(x) = 0 for x. after…

Q: What type of critical point is located at x =-6, if ƒ '(x) = (x – 2)(x + 6)?

A: This question is based on application of derivative.

Q: Find the critical numbers of the function. (Enter your answe g(x) = x² In(x) %3D X =

A: We find g'(x) using the product rule. g(x)=x2ln(x)g'(x)=2xln(x)+x21xg'(x)=2xln(x)+x

Q: 16. Sinusoidal functions do not have any critical points.

A: False. Sinusoidal functions has critical points.

Q: The function K has one critical point at 1 = 0. Use a number line and the first derivative test to…

A: We will solve the following.

Q: Classify the critical point (0,0) for for all - 0 <µ<0. 2 -

A: given system of matrix x'y'=022-μxy     for all -∞&lt;μ&lt;∞ claim- to classify the critical point…

Q: Find the critical number and relative extreme if they exist.

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Q: Find the critical values (if any) of the given functions. With solution please.

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Q: find all critical points of the function g(θ) = sin2 θ

A: Given Now, Critical points are points where the function is defined and its derivative is zero and…

Q: 2 1. f(x) = x² + 8x + 12 2 2. f(x) = x² + 25x 150 3. f(x) = x² + 18x130

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: Find the minimum and maximum values of f(x) = on the interval [9, 10] by comparing values at the…

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Q: Find the critical points of the following function on the given interval. Identify the absolute…

A: Given  The function is ƒ(x) = 2x ln x + 10 on (0, 4) . Product rule of derivative is    (fg)' = f' g…

Q: The function has only one critical point at x = VIn(a). Use the Second Derivative test to identify…

A: Solve g'(x)=0 to obtain the critical points. Then evaluate g'' at those critical points. If it is…

Q: Find the critical numbers.

A: Given,          fx=x-13x-2

Q: Find the minimum and maximum values of the function y = 3Vx² + 1 – 2x on the interval [0, 6] by…

A: Maximum and minimum value function

Q: Find the critical points of f(x) and use the Second Derivative Test (if possible) to determine…

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Q: The function passes through the points (0,3) (2,6) (4,4) and (6,1) x = 2 and x = 6 are critical…

A: Given data:     The given points are: (0.3), (2,6), (4,4), and (6,1). The first critical point is:…

Q: where did 0.025 come from? please explain the steps to get critical value

A: The level of significance is 0.05.

Q: Find all critical numbers and determine all the relative and absolute extrema of the function fAx) =…

A: Given,            f(x) = 3x2 + 12x + 3 and interval = -4, 4

Q: A farmer wants to fence an area of 13.5 million square feet in a rectangular field and then divide…

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Q: Locate the critical numbers and identify which critical numbers correspond to stationary points.…

A: Consider the given function fx=x23 Since, a point x=a is a critical point of the function fx if fa…

Q: Flx)= x - 3x#

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Q: Find the critical numbers for h(x)=x^2-x^4. Show all work.

A: The objective of the question is determine all the critical point of the given function.

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: Since f'(x) > 0 when x 0 (x 1), f is increasing on the intervals (--, -1) and and decreasing on the…

A: Given that: f'(x)=-4x(x+1)2(x-1)2

Q: Determine the critical numbers of the ff. functions.

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Q: Let f (x) = -sin (x/3). %3D Find all critical numbers (if any) of the given function in the interval…

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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: Find the critical numbers and any local maximum and minimum points for the function ex f(x) = 2x…

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Q: determine all critical values of the fonction f(x)

A: Given f(x) = x-2 in(x3+1)f'(x) = x2-4x+1x2+1f''(x) = 4x2-4(x2+1)2

Q: Find the critical numbers of the function x – 1 f(x) = x2 +1

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Q: Use a graph to estimate the critical numbers of f(x) = |x² – 10| – 5x correct to two decimal places.…

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Q: Use the derivative to find the exact critical points and intervals of increase and decrease for f(x)…

A: 1. Local maximums and local minimum values2. fx=4x3-21x2-24x+5

Q: Find the critical points of f(x) and use the Second Derivative Test (if possible) to determine…

A: At critical points the first derivative of the function will be zero , Second derivative test At…

Q: The critical points of a function f(x) occur at x = 2 & x = 6 and its 8 second order derivative is…

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Q: f(x,y) = xln(x^2+y^2)

A: Consider the given function, fx,y=x·lnx2+y2 Obtain the partial derivative w. r. t. 'x' as ,…

Q: Find all critical points of the function y = e(3 e² (3 – x²). Then, using the second derivative…

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Q: find all the critical values (if any) of y=x square-root (x-2)(1-x)

A: We have to find all the critical values of y=xx-21-x.

Q: Determine the critical numbers of the functions. 1 Ex5 +x +3 1 f(x) :

A: Given query is to find the critical points of the function.

Q: Find the critical points of the following function on the given interval. Identify the absolute…

A: Given that, f(x) = sin 2x + 3 Differentiating f(x) with respect to x we get, f'(x) = 2 cos 2x + 0…

Q: 4. Find the maxima/minima of f(x) = x³ – x using both 1st and 2nd derivative test.

A: Consider the function: fx=13x3-x. Find maxima, minima.   Find f'x by applying axn'=anxn-1.…

Q: Use the second derivative test to identify any critical points and determine whether each critical…

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Q: determine all critical points and all domainendpoints for each function. y = 2√(1 - x2) + sin-1 x

A: Given that, y=21-x2+sin-1x

Q: Find the critical points and sketch the graph of the function.

A: A function f(x) is given. The objective is to find the critical point.

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

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