what is the first derivative of cosx^2(x^2+2)

Q: Explain how to apply the First Derivative Test.

A: Explain how to apply the First Derivative Test.

Q: . Suppose you are writing an exam and you cannot remember whether the derivative of arcsin(x) 1 1…

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Q: What is the First Derivative Test for Local Extreme Values?

A: What is the First Derivative Test for Local Extreme Values?

Q: Evaluate the second derivative at this critical number.

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

A: Let,

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

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Q: What is the derivative of (3x^2tanh(sin4x))

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Q: What are the the mean value theorem in application of derivatives?

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Q: Find the second derivative of the funcion. y%3D

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Q: Describe the First Derivative Theorem for Local Extreme Values?

A: Describe the First Derivative Theorem for Local Extreme Values?

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: 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: Find the derivatives of the functions in Exercis

A: Given function is: y=1x sin-5 x-x3 cos3 x We have to find dydx.

Q: What is the 28th derivative of sinx?

A: Option D is correct

Q: Find the derivative of: 3 sin (– 3x). Hint: sin (x) = [sin(x)]"...so use the chain rule (twice!).

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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: Derive the derivative function for secx and express your answer in product form.

A: ddx(secx)=ddx(1cosx)ddx(secx)=cos(x)ddx(1)-1ddx(cos(x))cos(x)2ddx(secx)=cos(x)0-1-sinxcos(x)2ddx(sec…

Q: What is the anti derivative of  f(x)= 2sin(x)-sec2(x)

A: Given information

Q: What are the formulas for differentiation and intergration? When to use them?

A: Query- What are the formulas for differentiation and intergration and describe When to use them?…

Q: 6. y%= arcsin a Va2-x2

A: Given: 6. y=xa2-x2-arcsinxa

Q: what is the first derivative of arccos4x

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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 anti derivative of the function.

A: Given Data: Function: fx=2x35+10x5-74x Similified the given function f(x).…

Q: Compute the derivative using derivative rules that have been introduced so far       y = √(7x - 3)

A: To find the derivative: y=(7x-3) Solution: y=(7x-3) Differentiating both sides w.r.t x we get:…

Q: Explain why a positive derivative on an interval impliesthat the function is increasing on the…

A: On an open interval Suppose  is a function on an open interval  that may be infinite in one or both…

Q: What is a higher-order derivative?

A: We create, or derive, a new function f'(x) from a function f(x) called as derivative of function…

Q: Determine the anti derivative of the function please

A: Here given function as fx=3ex+11-x2-2sec2x-71+x2

Q: Find the derivative of 7-sec(x)/tan(x)

A: we have to find derivative of f(x)

Q: Find the area of the largest rectangle that can be inscribed in a circle of radius 10 inches. use…

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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 portial derivative of

A: Follow 2nd step.

Q: What is the rule for calculating the derivative of a composite of two differentiable functions? How…

A: Let us we consider a function which is real valued function which is composite of of two functions…

Q: Find the derivative and simplify: f(x)=ex-cotx

A: To determine the derivative.

Q: critical point will be a point of inflection if the second derivative is?

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Q: Find the derivative of: sin sin(2x) sin sin(x) + cos (2x) cos(x) ans: -sinx solution?

A: We will use the formula cosA*cosB+sinA*sinB= cos(A-B) , with A=2x and B=x and simplify.

Q: Find the derivative of the function at Po in the direction of A. f(xу) 3 - ху- Зу?, Po(-7,0),…

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Q: State the First Derivative Test.

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Q: In(X+ bnx) %3D

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Q: X-2 %3D

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Q: 12. f(x) = ( cosx 1+sinx)

A: f(x)= (cosx/ 1+sinx)2

Q: 5-cos x 3) f(x) = 5+sinx foo

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Q: Find the derivative of number 4 in attached image using Four-Step Rule

A: Solution: The objective is to find the derivative of the given function

Q: Find the derivative of using first principle?

A: we have to find first derivative of y by using first princple

Q: What is the definition of the derivative (Difference Quotient)?

A: 2. What is the definition of the derivative(difference quotient)? ans. In single-variable calculus,…