Using the second derivative test, find the maximum and minimum points for the function f(x)-x* -8x² +5

Q: f(x)=(x^3-25x)/(7x^2+1) Use the first derivative test to find the critical points.

A: Given: The function, fx=x3-25x7x2+1.

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

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Q: (a) Use the Second Derivative Test to find the local extreme values of the function f(x) = (x³ –…

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Q: Find the derivative of the function using the definition of derivative. f(x) = 3 + 6x - 7x2 f'(x) =…

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Q: Determine all maximum and minimum turning points of the function: y= 3x* + &r' -90 Find also, the…

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

A: The given function is- f(x)=x4-4x3+3 We need to find relative maximum and relative minimum.…

Q: b) Let f(x)=x² -3x+5. Show that the average rate of change of f (with respect to x) on an arbitrary…

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Q: Find the critical numbers of f, if any, (a) find the open intervals on which the function is…

A: Given Data The equation is f(x)=x²+6x+10.   (b) Differentiate the equation with respect to x and…

Q: Using the second derivative test, find the local extrema of the function f(x)=x3−9x2+24x−7.

A: We find the first and the second derivative using the power rule

Q: Find the critical numbers of f, if any, (a) find the open intervals on which the function is…

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

A: Given y=x2-25   ..... (1) The first derivative of the given equation is, dydx=2x Now, dydx=0⇒x=0

Q: f(x)= (3x²+2x+1)

A: Topic = Derivative

Q: Use the first derivative test to find the intervals of increase and decrease, and the relative…

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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: (a) Use the Second Derivative Test to find the local extreme values of the function f(x) = (x³ +…

A: Solution is here

Q: 7. f(x) = 3x -4x -1

A: According to our guidelines , we can answer only first question. Kindly re-post other remaining…

Q: Consider the function              f(x) = x^2 -x +1 / x^2+1 If you were asked to find all the…

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Q: (a) Use the Second Derivative Test to find the local extreme values of the function f(x) = (x³ +…

A: Note:- These are multiple questions and according to our company guideline we can do maximum one…

Q: Use the Second Derivative Test to find the relative extrema (list as points), if any, of each…

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Q: Perform a first derivative test on the function f(x) = x/25 - x;(-5,5]. a. Locate the critical…

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Q: Let f (x) = 2x3 + 18x2 + 63.Use the First Derivative Test to determine the relative extreme values…

A: Given:

Q: derivative of the firm's profit function is F'(x) = -0.03x2 + 3x - 100, where x 2 0 is the output…

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Q: Find the derivative of the function using the definition of derivative. f(x) = 3 + 6x - 5x2 f'(x) =…

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Q: (5x²+4)

A: ddx15x2+43

Q: Find the critical numbers of f, if any, (a) find the open intervals on which the function is…

A: We find the critical points by solving f'(x)=0 Answer(a):  Critical numbers= -1.633 and 1.633

Q: Perform a first derivative test on the function f(x) = x/100 - x² ;[- 10,10]. a. Locate the critical…

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Q: Using the first derivation test, explain why the function f(x)= -2x has no extrema on any open…

A: if f(x) is not change then  sign  there will be no extreme value in the open interval

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

A: Consider the given equation. fx=3+9x2+6x3 Calculate the first derivative of the function.…

Q: ation of the line tangent to the graph of f(x) = 5x4 – 9 at x = -1

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

A: fx=x4-8x3+9

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

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Q: Tutorial Exercise Find the derivative by the limit process. f(x) = 12 – x² .2,

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Q: Use the Second Derivative Test to find the relative extrema (list as points), if any, of each…

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Q: Using the limit definition of the derivative of a function at a point, show that the function f(x)=…

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Q: (a) Use the Second Derivative Test to find the local extreme values of the function f(x) = (x³ +…

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Q: Find the critical numbers of f, if any, (a) find the open intervals on which the function is…

A: Given function is f(x)=x2-6x+5 The first derivative of the function is given by f'(x)=2x-6 So the…

Q: Use the First Derivative Test to find relative (local) maximum points or minimum points, if any, of…

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Q: Find the critical numbers of f, if any, (a) find the open intervals on which the function is…

A: fx=x3-6x2+15 Differentiating with respect to x, we get f'x=3x2-62x+0=3x2-12x Now to find critical…

Q: Find the derivative of the function using the definition of derivative. f(x) = 3 + 6x - 9x2 f'(x) =…

A: We will find the derivative and domain of f(x) and f'(x) as shown below

Q: using the first derivative test, determine the relative extrema of the function f(x)=…

A: Given query is to find the extrimas for the function.

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

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Q: Use the definition of derivative and limit laws to find the derivative of f (x) = 2x^2 + 1.

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Q: Find the relative extrema of the function and classify each as a maximum or minimum using the First…

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Q: Test for relative maxima and minima. Use the second-derivative test, if possible. y = x3 - 12x +3

A: Given  y=x3-12x+3 The the first derivative is y'=3x2-12 The critical points are those points at…

Q: Find all relative extrema of the function. Use the Second Derivative Test where applicable g(x) =…

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Q: -9) √(x+2)]2

A: The function given is , fx=x2-9x+22. To find the derivative of the function, Apply the product rule,…

Q: Find the local extreme values of f(x) = 1 + 3x2 − 2x3 using the Second Derivative Test.

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Q: Using the First Derivative Test, what are the local extrema for the function g(x) - + 9x- 28x + 1?…

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Q: derivative of f (x)= (9x4 5 - 7x

A: Given:

Q: Perform a first derivative test on the function f(x) = x 16-x:(-4,4). a. Locate the critical points…

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