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

Q: Determine where the absolute extrema of f(x) = (4x)/(x^2+1) on the

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Q: 13. f (x) = sinx3 (2х-1)2

A: I have stated the used formulas in the solution

Q: What is the critical point of this function?

A: Critical points are that points where derivative is zero

Q: Find the derivative of f(x) = tan tan (3x2+2x)( Ans: (6x + 2) sec2 (3x2+2x) solution?

A: Let,

Q: Find the derivative of f(x) = (6x² + 6x – 4)arctan x 12x+6 бх2+бх-4 1 (6x2 + 6x – 4)aretan x…

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Q: 8. Find the derivative of f (x) = 2tanx – 3secx. Show all steps -

A: We have to find the derivative of the function fx=2tanx-3secx Then,…

Q: Use Second Derivative Test to find the location of all local extrema for f(x) = 2x³ + 15x² + 24x – 3

A: We Know that The second derivative may be used to determine local extrema of a function under…

Q: If 1– cosh x f(x) : 3+ cosh x then f'(x) =

A: The quotient rule of the differentiation uv'=u'⋅v−u⋅v'v2.

Q: find all relative extrema of thefunction. Use the Second Derivative Test whereapplicable. f(x)=6…

A: Given:            fx=6x-x2 Second derivative test definition: Suppose that x = c is a critical point…

Q: Find the relative extrema of f(x) = 8+ 126x – 7x2 using both first and second derivative tests. f…

A: If second derivative is less than zero then there is relative maxima.

Q: Find local maximum or local minimum of f(x)= -sin 2x -x defined on 22

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Q: find the tangent line of f(x)= 3x-4/x+1 at x=0

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Q: (4) Find the derivative of f(x)= tanx+5

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Q: Find the absolute extrema of the function on the closed interval. f(x) = 7 – x, - [-4, 4] minimum…

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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: 3. Why first derivative is zero at local maximum and local minimum of function in an open interval?

A: Given, Why the first derivative is zero at the local maximum and a local minimum of function in an…

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

A: Given, The function  fx=x4-4x2+2 We have to find the all relative extrema of the function using the…

Q: Use the first derivative test to locate all local extrema for 3 f (x) = -x'+ = -x' +- x +18x.

A: Explanation of the answer is as follows

Q: Find the intervals of monotonicity of the function f(x)=x+sinx.

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Q: The first derivative of y=cos(tan(x2-7x+1)) is... Turunan pertama dari fungsi y=cos(tan(x2-7x+1))…

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Q: 4. Is the function f integrable over the interval [-4,1]? Briefly justify your answer. 2x2 + 5x – 3…

A: Solution  Question 4  Given,  fx = 2x2+5x-3x+3  We have to find the function is integrable in the…

Q: Please help. *Find the equation of the normal line (NL) to the graph f(x)=x³-4x at x = 3. *For…

A: To find the equation of normal line to the curve

Q: Apply the first derivative test to indentify all relative extrema. f(x) = cos² (2x)

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Q: Find the absolute extrema of the function on the closed interval.

A: Given,  The function is  y=3-t-3 Interval is [-1,5] The given function is a modulus function which…

Q: 3. If f(x) X-x find F(tanx) 1+x2

A: 7.The given limit is: limx→-∞x23x2-4x+1 To evaluate the value of the limit.

Q: Use the second derivative test (is possible) to find the relative extrema of f(x) = 3x^4 - 8x^3 +…

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Q: A continuous function has a derivative at every point in a given interval. True or False?

A: function is differentiable means that function is continuous as well as smooth at every point of…

Q: Use the First Derivative Test to find the relative extrema of x – 3 f(x) ex

A: The given function is fx=x-3ex. We need to find the realtive extrema. Concept used:  Consider x=c is…

Q: Find the relative extrema using first derivative test   f(x)=(x-2)^6

A: Consider the function f(x)=(x-2)^6

Q: 9) Use the second Derivative Test to find all relative extrema. f( x) = - (x + 2)°(x – 4)?

A: Find f'(x) and solve for x by putting f'(x)=0.

Q: Use Intermediate Value Theorem to show that the equation

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Q: a) f'(-3) where f(x) = 5-3x

A: Derivative using definition

Q: Find local maximum or local minimum of f(x) = - sin 2x -x defined on 2'2

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Q: Use Second Derivative Test to find the location of all local extrema for f(x)=2x³+21x²+36x-1

A: Local extrema.

Q: Give an example of a function that is defined for all real numbers, is continuous everywhere, but…

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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: 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: Find the derivative of f(x)  =(a + 2x2) (x - x2) in twoways: by using the Product Rule and by…

A: We have given function  fx=a+2x2x-x2 At first we  will use product rule:…

Q: Use Second Derivative Test to find the location of all local extrema for f(x) = 2x3+21x²+ 36x-1

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Q: Compute the average rate of change of f(x) = x2-1/x on the interval of [2,4]. Please show me each…

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Q: Use the first derivative test to identify all relative extrema  f(x)= 1/2x-sinx on the interval…

A: Maxima or minima: If f(x) is any function: 1) Evaluate f'(x)=0 for critical point. 2) Evaluate…

Q: Use the second derivative test to find all relative extrema  f(x)= x+4/x

A: The given function is as - f(x) = x+4xProcedure to find local extremas - 1. Find f'(x)2. Put f'(x) =…

Q: Apply the first derivative test to indentify all relative extrema. f(x) = ¹²-2x+1

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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: In(X+ bnx) %3D

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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: Verify Mean Value Theorem for the function 3x² – 4x + 5 in [-1,1] 1-tanx

A: Use mean value theorem

Q: Find the derivative of f(x) = arctan x In(6x² + 6x – 4) 1 1 arctan x 6x2+6x-4

A: Here the given function fx=tan-1x ln6x2+6x-4

Q: What is the average rate of change of f(x)= x2 -2 on the interval [-1,3]?

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