What is the derivative of the function h(x) = ((4x^2-4)/(cos(x)))^8

Q: Find the derivative of y = elanx

A: Given:- y = etanx To find:- Derivative of y

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 ex? What does it mean that the derivative is equal to the value of the…

A: Explanation of the solution is given below...

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

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Q: Find the derivative of sinh(x)tanh(x).

A: As per our guidelines I am solving only first problem please repost other question.  y = sinh(x).…

Q: 29. Find the 5th derivative ofy= sin2x

A: 29. Given function is, y=sin2x. The first derivative of y is, y'=ddxsin2x=cos2x·2=2cos2x   The…

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

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Q: What is the derivative of y = sin (x³ sin (x³ – 3x)?

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Q: What is the derivative of 2(x)ln(x)+x

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Q: find the derivative of the function  y'=ln(squared root of x^2-4) and  y=ln IsinxI

A: The given function is y=lnx2-4. Obtain the derivative as follows.…

Q: Find the derivative of excosh(x)

A: Topic:- Derivative

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: 5) Find the derivative using logarithmic differentiation: y = Xcanx

A: As per our guidelines we are suppose to solve only first question. Kindly repost the other question…

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

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

Q: 2. Use logarithmic differentiation to find first derivative of y = (sinx)*

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

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Q: Find the first four derivative  if  y= cosx

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Q: Determine the first derivative of the ff. function y = 2 + arctan(3 sec 2x)

A: We have to find the first derivative of the function: y=2+tan-13 sec 2x We know the formula of…

Q: In(tanhx)

A: As we know that; The chain rule: fgx'=f'gx·g'x And ddxtanhx=sech2x Given: fx=lntanhx

Q: derivative of f(x)= 3sin2x

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Q: Find the 4th derivative of the function y=exsinx.

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Q: Find the second derivative of f(x) = sin(3x) - cos(2x)

A: We have to find second derivative of  f(x) = sin(3x) - cos(2x)  Then   First derivative of f(x) is…

Q: a the derivative of h(x) = ln + 2 x5 et |

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Q: Find the derivative of the function. y = tan−1 (square root of x - 4)

A: Consider the given function. y=tan-1x-4 The objective of the problem is to find the derivative of…

Q: Find 1st and 2nd derivative of:   f(x)=(5x^4 + 3x^2)*ln(x^2)

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

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

Q: cos X sin x + cosX

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Q: Find the function ƒ(x) whose derivative is sin x and whose graph passes through the point (0, 2).

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

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Q: Solve for the derivative of the function using chain rule. 7. f(x)= sin(e3x)

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Q: What is the derivative of the function  x^8(ln(x)), and what can I substitute for x to make the…

A: We have to find derivative dy/dx and point where dy/dx =0y is given below:

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 y with respect to the givenindependent variable. y = log25 ex - log5 √x

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Q: Find the first derivative of ƒ(x) = 7x¹⁰² cot(x). 10 f'(x) =

A: Given :fx=7x10excotx

Q: What is the Derivative of: y = extan x

A: Given: y=ex tan x To Find: dydx=?

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 without using the Quotient Rule. y = -

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Q: Find the derivative of (ex + e-x )/(ex - e-x )

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Q: is the derivative of In

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Q: calculate the derivative y = cosh−1(3x)

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Q: Shows the derivative function of: x³  + ln x(3x² + 5)

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Q: How would you find the 65th derivative of sin(x)? Is there a pattern that occurs that allows you to…

A: Let y = sinx.Compute the first derivative of y as follows.

Q: Find the derivative of the function f(x) = 6x2 - 6 cosx

A: the given function f(x)=6x2-6 cos x

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

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Q: What is difference between the derivative of log(sin(x)) and the derivative of ln(sin(x))?

A: The difference between ln and log is the base of ln is e and the base of log is 10

Q: Find the derivative of the function. Simplify wherepossible  x lnarctan x

A: Let f(x)=xlnarctanxDerivative formula:ddxlnx=1xddxtan-1x=11+x2arctanx=tan-1x