What is the second derivative of f(x)=6x^4 at the point x=−2?

Q: Explain how to apply the First Derivative Test.

A: Explain how to apply the First Derivative Test.

Q: Evaluate the second derivative at this critical number.

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Q: Determine the derivative of f(x) = Cosh(5 x) csc(x)

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Q: # Find the derivative of frz)- (2-2)"

A: Given function is fz=z-25z2+iz+12

Q: Find the derivative of x/ex^2.

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Q: what would be the output if the 2nd derivative is negative

A: We know that for a function y = f(x), the points of extremum are obtained if the first derivative of…

Q: By using the second derivative test for functions of two variables, find three positive numbers…

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Q: Find both the derivative and indefinite integral of ƒ(x) = 4 cosh 2x.

A: Here given as ƒ(x) = 4 cosh 2x. Thus

Q: show that nth derivative of  f(x)=x^2/(2x+1)(2x+3)

A: nth derivative of f(x)=x2(2x+1)(2x+3) f(x) can be written as by using synthetic division method…

Q: Explain how to apply the Second Derivative Test.

A: The second derivative test is used to find the relative maxima or relative minima. The second…

Q: What is the 28th derivative of sinx?

A: Option D is correct

Q: Which functions have a negative first derivative for all x?

A: Which functions have a negative first derivative for all x?

Q: State the Second Derivative Test

A: Second Derivative Test:   This is used to find local extrema.

Q: Evaluate the 3rd derivative of y= x5Tan(x4) if x=4

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Q: find the derivative oof 1/x^3 + 3* 1/square root of x

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Q: What information about a graph can be found from the second derivative?

A: What information about a graph can be found from the second derivative?

Q: How do you find the derivative of a constant multiplied by afunction?

A: If f(x) is any function and let y=cf(x)            function f(x) multiplyed with a constant, c is…

Q: What is the second derivative of: -(4-x^2)^1/2

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Q: Evaluate the 2nd derivative at the given point.

A: We differentiate both sides with respect to x. Then we plug the given point.

Q: Find the derivative of the function without using the Quotient Rule. y =

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Q: What is the derivative of the exponential function ex? How does the domain of the derivative compare…

A: To determine the derivative of the function ex and domain of the derivative.

Q: what is the first derivative of arccos4x

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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: Describe the Second Derivative Test in your own words

A: A second derivative test is conducted to find the relative maxima and  minima of a given function.

Q: Determine the derivative of 6x log3(x)

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Q: What is sign analysis of first derivative?. When a function is said to be increasing, decreasing…

A: As per our guidelines, I have solved the fourth problem. If you want the answer of the fifth…

Q: Brd Derivative OF y=-Jin3x

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Q: If f(x) = x³ + find f"(-1).

A: Since you have asked multiple questions in single request.so we will answering only first question.

Q: How to solve for the second derivative?

A: The objective is to solve for the second derivative. Consider a function fx=3x4

Q: What is the difference of antidifferentiation and anti-derivative?

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Q: What is the derivative of y = sinx x³ ?

A: Given that,   y=sin xx3

Q: If f(x)=4sinx-x^3, what is the second derivative of f?

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Q: Explain how the Second Derivative Test is used.

A: The second derivative may be used to determine local extrema of a function under certain conditions.…

Q: What is the derivative of:  ex / x2

A: The given function is: fx=exx2   As we know that; The Power law: ddxxn=nxn-1 The Quotient rule:…

Q: Find the derivative of the function. f(x) = /5 +x sec x [5+x secx

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Q: What is the derivative of (x^2+1)^x?

A: Use the lograthim to find the derivative of given expression.

Q: water leaking onto a floor creates a circular pool with an area that increases at the rate of 3…

A: Let  A=π r2 differentiating A with respect to time tdAdt=2πr…

Q: What is the derivative of square root 2t?

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Q: Answer fast. Find the 5th derivative of 3x^5 - Зx^3 + (1 /x^2).

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Q: Find 3rd derivative if ƒ'(x) = x³.

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Q: What is the derivative of y=(1-x-1)-1  Please show steps. Thanks.

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Q: What is the derivative of the function  x^8(ln(x))?

A: To find the derivative of the function x8(ln(x)) as follows.Redefine the function as follows.

Q: us to find the derivative of x) = Vt3 + 27dt -3

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Q: Find the  1st derivative of : y-=sec3β tan2β

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Q: State the second-derivative test for functions of two variables.

A: State the second - derivative test for functions of two variable.

Q: 3) Determine the second derivative of y = 5x* + 4x -+÷-3 2x2

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Q: How do you find the derivative of the quotient of two functions that are differentiable at a point?

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