Find the derivative of the function. y = e-4x5 y' =

Q: Find the derivative of y = 6e x – cosx.

A: Given function, y=6ex-cosx Used formulas, ddxcfx=cddxfx  c=constantddxex=exddxcosx=-sinx

Q: What is the derivative of `y=\ln\ x`?

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Q: Find the derivative of the function. f(x) = ln 3x

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Q: Find the derivative of y = sin x³ cos x?

A: As per our  guidelines we are supposed to answer only one question. Kindly repost  others  questions…

Q: Find the derivative of y=ln^3(tan^-1x)

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Q: 45. y = cos vsin(tan x)

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Q: calculate the derivative. y = sinh(x2)

A: we have to find the derivative  y = sinh(x2)

Q: 3. Find derivative of the function y = x tan-(4x)

A: we have to find the derivative of y

Q: Find the derivative of the function. y = (ln x)4

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Q: Find the derivative of the function y = ln(9 – e-ª).

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Q: Find the derivatives of the functions y = ln (sec2 θ)

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Q: In y=e³ sinx

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Q: Find the nth order derivative of the function y=sin2x.

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Q: y = (cosx)ln*x|

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Q: Find the second derivative of the function. y = x sin2 x

A: Given information: The function is y==xsin2x To find the second derivative, first differentiable…

Q: Find the derivative of y=sinh-17x

A: Given:y=sinh-17xHyperbolic Identity:cosh2x-sinh2x=1Differntiation formula:ddxsinx=cosx

Q: Find the derivative of the function. y = 2 cos5 x

A: Given, y = 2 cos5 x To evaluate, dydx

Q: Calculate the derivative of the function y=1+cosxsinx.

A: Given: y=1+cosxsinx we know that for finding derivative of given function we need to use product…

Q: Find the derivative of the function y = ln(9 – e-"). f'(x) =

A: Given that y=ln(9-e-x) To find : Differentiation  y'=f'(x)=ddx(ln(9-e-x))=19-e-xddx(9-e-x)=e-x9-e-x

Q: Find the derivative of the function. y = 2eVx

A: The chain rule for differentiation is given by ddxfgx=f'gx.ddxgx.

Q: cosx y =-

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Q: find the first derivative of the function y=sinsin3x

A: Given,           y=sinsin3xTo find: The first derivative of the function.

Q: Find the derivative of function. y = ln(5x3 - 2x)3/2

A: To find: The derivative of y=ln5x3-2x32. Formula used: Logarithmic power rule: ln ab=b·ln a Chain…

Q: Find the derivative of y = sin(-* e-X 2ex + 1

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Q: Find the first derivative of the function:  y=x² arcsin x

A: We have to find the first derivative of the function: y=x2 sin-1 x Here two function are in product…

Q: Find the first derivative of = (ln x)* 4 y

A: From the given function; y=lnx4 We know that; The Power law: ddxxn=nxn-1 The chain rule:…

Q: Find the derivative of the function y = x² cosh²3x

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Q: In 2x y = - cos x

A: ddxln 2xcos x= ddxln 2x . cos x - ln 2x.ddxcos xcos2 x= 12x. 2. cos x - ln 2x.(-sin x)cos2x= cos xx…

Q: Find the 3" derivative of the function y=f(x) given by the equation y' = 2x.

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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 the derivative of the function y = cosh−1(3x)

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Q: Find the derivative of the function  f(x)= e^-3x ln x

A: Given function is

Q: Find the derivative of the function h(x) = x2 arctan5x

A: The given function is h(x) = x2 arctan5x

Q: Find the second derivative of the function given by the equation x+y=ex−y.

A: Using implicit differentiation and the chain rule we find y'

Q: Find the derivative. y=cos(ln 4x^6)

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Q: Calculate the derivative of y = e1+sinx.

A: Given, y = e1+sinx.

Q: Find the derivative of the sine function y=sinx.

A: We have to find derivative of sine function: y=sin x Finding derivative by first principle of…

Q: y = Vx* X

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Q: Find the first derivative of 1 2 y -sin?

A: Explained below

Q: Find the derivative of y = sech ILe-x)

A: Topic:- derivatives

Q: Find the derivative of the function.

A: Given

Q: What is the Derivative of yx

A: f(x) = yx

Q: Find the derivative of y= log, (5x³)+log, (sin.x)

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Q: find the derivative of y=sin2(3x).

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Q: Find the derivative of the function. y = x² cosh²3x

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Q: find the derivative of y with respect to the givenindependent variable. y = 2x

A: y=2x

Q: find the derivative of y with respect to the givenindependent variable. y = log5 ex

A: On simplification, we get

Q: Find the second derivative of y=x-1 at x=2

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Q: Find the derivative of the function y = 1/ln(1 − 7x)

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