Let f(x) = x* – 2x³ – 2 Find the intervals on which f is increasing and (x) decreasing, then find the local extreme values of

Q: For the function below, find a) the critical numbers; b) the open intervals where the function is…

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Q: Find the intervals on which ƒ is increasing and the intervals on which it is decreasing.

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Q: The function f(x) = x* - 18z is increasing on the intervals

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Q: find the intervals on which the function f(X) = x3+5x2-8x+1 is strictly increasing function

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Q: Use a graph below of f(x) = 3e-5z to estimate the x-values of any critical points and inflection…

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Q: For the function f(x) = -x-5x + 4x - 3, find: a. the critical values b. the intervals of increasing…

A: We have

Q: Find the intervals of monotonicity of the function f(x)=√x−x2.

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Q: For the function below, find a) the critical numbers; b) the open intervals where the function is…

A: We need to find critical values and interval where function is increasing and decreasing.

Q: Find the domain of f(x) = 3x/(x − 1) and discuss the behavior of f near any excluded x-values.

A: Given function is f(x)=3xx-1 Since domain is the set of all those input values for which the…

Q: Find the intervals in which the function f(x)=x' – 3x² +4 is strictly increasing for all - хER.

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Q: Let f(x)=x+(1-x)^(1/2). Find the local maximum and minimum values of f using both the first and…

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Q: Find the absolute extrema of the function on the closed interval.                          f(x) =…

A: The given function is Solve the absolute extrema on closed interval [0,4] by finding its derivative…

Q: For the function f(x) = -2x + 3x2 + 12x 1. Find all the critical points of the function f(x). 2.…

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Q: Find the interval on which f(x) = x² + 4x – 1 is increasing and the interval upon which it is…

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Q: 3 Determine the intervals for which the function f(x) = x° + 18x +2, is decreasing.

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Q: Find the value a that will make f(x)={2x^2-7x+3/x-3  if x is not equal to 3…

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Q: For function, find (a) the critical numbers; (b) the open intervals where the function is…

A: f(x)=ln 5x2+4x2+1

Q: Find the absolute extrema of the function on the closed interval. 5x f(x) [-5, 5] x2 + 16

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Q: Find the absolute extreme of f(x)=x^3-12x on the closed interval [0,4]

A: for finding critical points take f'(x) = 0 then find the function value at the critical points and…

Q: Determine the absolute extreme values of f(x) = 5x – 10~/x on the interval [0, 16].

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Q: Find all the intervals at which the given function is continuous. 1. f(x)=x^2 - 3x - 10

A: Continuity: A function is said to be continuous at if following conditions holds. 1) exists 2)…

Q: Find the intervals on which the function f(x) =x2 +5x2 -8x+1 is strictly increasing function

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Q: find the intervals on which the function f(X) = x3 +5x2 -8x+1 is strictly increasing function

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

A: To find critical point put f'(x) = 0 If f'(x) > 0 at each point in an interval I , then f(x) said…

Q: Find the intervals on which f is increasing and the intervals on which it is decreasing. = - x° - 2x

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Q: For function, find (a) the critical numbers; (b) the open intervals where the function is…

A: The critical points of the function are the points where the function is defined but its first…

Q: Determine the open intervals where the function f(x)= xe^x is increasing and where it is decreasing.

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Q: 1. Find the absolute extrema of f (x) = x* - 8x² + 3 on the interval [-1,3].

A: Absolute extrema on a closed interval lies on end points or at f'(x) = 0 So first we have to…

Q: Find the absolute extrema of the function on the closed interval.                      g(x) = 6x2/(x…

A: Given    g(x)=6x2x-2 ;  -2,1

Q: For function, find (a) the critical numbers; (b) the open intervals where the function is…

A: Given function is, fx=x4+16x3+64x2+4.   a. To find the critical numbers.   First, differentiate the…

Q: 2) State the intervals of concavity in the function f (x) = x3 + 2x2 – 4x + 5.

A: We have to determine the intervals for concavity of the function: fx=x3+2x2-4x+5 To check the…

Q: 4 If f(x) = x 2 - function for all real values of x, then f(8) is equal to

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Q: For function, find (a) the critical numbers; (b) the open intervals where the function is…

A: Critical points are points where the function is defined and its derivative is zero or…

Q: For function, find (a) the critical numbers; (b) the open intervals where the function is…

A: Solution:Given        f(x)=xe-3xTo find:(a)Critical Point(b)the open interval where the function is…

Q: 3x if x 2

A: Given that a function of f(x) and we find value of k. We know that if a function is continuous at x=…

Q: If function g(x) =- is discontinuous at x=a, find the points of (x-a) x2 -1 (x+4)(2x-3)´…

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Q: Find the value for k so that the function will be continuous at x = 1. - 5x2 - 30x + 35 - 10 if x <…

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Q: Find the absolute maximum values of f(x) = 2x^3 +  3x^2 + 4 on the interval [-2,1].

A: Given: f(x) = 2x3 +  3x2 + 4

Q: Let f be the function (8x-1 for x х Find the values of a and b that make the function continuous.

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Q: For the function below, find (a) the critical numbers; (b) the open intervals where the function is…

A: The solution of the problem is given in the next steps.

Q: Find the absolute extrema of f(x)=x^3-6x^2+5 on the interval [-3,5]

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Q: Find the open intervals on which f(x) = x3 − 3/2x2 is increasing or decreasing

A: Find the open intervals on which f(x) = x3 − 3/2x2 is increasing or decreasing

Q: Find the absolute extrema of the function on the closed interval. f(x) = x3 - 12x, [0,6]

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Q: Let f(x)=1x−2 ; for what values of x , f(x) will be discontinuous?

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Q: Find the intervals on which the function f(x) =x3+5x2-8x+1 is strictly increasing function

A: ⇒f(x)=x3+5x2-8x+1⇒f'(x)=ddx(x3)+5ddx(x2)-8ddx(x)+ddx(1)⇒f'(x)=3x2+10x-8⇒f'(x)=3x2+12x-2x-8⇒f'(x)=3x(…

Q: For the function below, find a) the critical numbers; b) the open intervals where the function is…

A: We have to find

Q: Find and classify the extreme values of f(x)= 6x* –4x° over the interval [-2,2].

A: Given,  f(x)=6x4-4x6

Q: Find the intervals on which f is increasing and the intervals on which it is decreasing. ​f(x)=6−x2

A: To find the function increasing or decreasing If f′(x)&gt;0 on an open interval, then f is…

Q: Find the value for k so that the function will be continuous at x = -4. f(x) = 7x + 47 -x² + 18x81+k…

A: Topic = Functions

Q: Find the critical point of f(x) = -x² + 2x + 7 and determine if the function is increasing or…

A: For Critical points we will put f'(x)=0     And for determining  whether fxn is increasing or…