Find the second derivative if y = sinh- (n + x') at x = 0

Q: Find the 5th derivative of the function y=x2sin2x at x=0.

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

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

Q: Calculate the derivative with respect to x of the other variable appearing in the equation. exy =…

A: Given, exy=siny2

Q: In y = 22 cosh1 2x

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Q: Use three-point midpoint formula to evaluate the first derivative of y = cos(x) at x = 5 using a…

A: Given function is y=cosx. We have to find the first derivative of y=cosx at x=π2 using a value of…

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

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Q: Explain the method of proving the derivative (dy/dx) of sinh(x) and cosh(x) ?

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Q: Find the indicated derivative using implicit differentiation. 4. dy 5xy - 5 dx dy dx

A: Given equation :

Q: 1. Find the first derivative " if y = x sin 27x . dx

A: Given:  y=x sin 2πxTo determine the firstderivative.

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

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

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

Q: Find the derivative of y with respect to x 3tan-1x + sin-1x = 4

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Q: find the derivative of y with respect to the givenindependent variable. y = θ sin (log7 θ)

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Q: Find the 46th derivative of y = cos (x) sin (a) cos (2) cos (x) - - sin (x)

A: Given y=cosx

Q: y = (cosx)ln*x|

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Q: Calculate the derivative at the point (1,1) of the function given by the equation x−y=ln(xy) where…

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Q: Find the derivative of 3 In xy + sin y = x².

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Q: Find the second implicit derivative of the given using implicit differention y2-3x+2y=0

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Q: #11, find dy/dx by implicit differentiation

A: Differentiate question 11

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 f(x) = ln(sinh x)

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Q: Find the derivative of y with respect to θ, y=6θ(sin(ln(6θ))+cos(ln(6θ))).

A: To find derivative of y.

Q: Find the derivative of y with respect to x if y=∫0ln(3x) sin(6et )dt

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Q: y = In(tanh 2x)

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Q: Evaluate the derivative of y =e* sinh (2x). -3x

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Q: Find the derivative of ,In sin-1) y = e %3D

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Q: Calculate the derivative of y=arctan√ex at x=0.

A: We differentiate both sides with respect to x using the chain rule.

Q: Find the second derivative of g(x) = sinh(x) cosh(x)

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Q: Find the derivative of y given that y = In (sinh x) %3D

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Q: Use three-point midpoint formula to evaluate the first derivative of y = cos(x) at x =; using a…

A: The three-point midpoint rule to calculate f'(x) is f'(x)≈f(x+h)-f(x-h)2h, where h is the step size.

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 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 = arctan x+ 1+x?

A: To find: The derivative of the function . Calculation: Find the derivative of the function.

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

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Q: 22 Find the 43rd derivative of (1 + x²)“ at x = 0. 0.

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

A: Given, y = e1+sinx.

Q: 6. y = vx sin-'(x)

A: we havey=x sin-1(x)

Q: Find the derivative of y = sinx / (1+cosx).

A: Topic  =Derivative

Q: f y = (sin x)x b

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Q: find the first derivative in the form of dy/dx y=(3x-ln(x))^5

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Q: Find the first derivative of y = cos*x- sin*x.

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

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Q: How would you find the derivative of sin (z^6) + sin^6 (z) using the chain rule?

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Q: Calculate the derivative of the function y=log2 x ln (2x) at x=1.

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Q: Find the 2nd derivative of (y^2)+cosx 3y +1

A: This question is based on Derivative of equation.

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

A: On simplification, we get

Q: Find the derivative of the function y = tanh−1(sin 2x)

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Q: calculate the derivative y = sinh(ln x)

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

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