Find the derivative of the function x² ln 4y = y sin 4x + e2 Answer:

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

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

Q: I FIND THE SECOND DERIVATIVE OF THE FF IN ITS SIMPLIFIED FORM 1. y Arctan- 3-V9-x2 2. y= 4 Arccos +…

A: 1.   From the given problem:   y=Arctanx3-9-x2   As we know:   d2ydx2=ddxdydx   So,…

Q: Find the derivative of the function y = sinh−1(4x)

A: To find the derivative we use the chain rule

Q: y = Vx sin-1(x)

A:

Q: Find the 2nd derivative of y with respect to x : y=xe^2x

A:

Q: Find the derivative of the function y = 8 cos(2x)

A:

Q: Find the derivative of  y=sin^-1(cos(x))

A: We can find the derivative as below

Q: Find the derivative of the function. y = sin-(6x + 1) y' =

A:

Q: Find the derivative of the function below. y = 5x sin- x + V 16 - x² dy dx II

A: here is the important formulae which is  used to the given problem: 1) d(xn)dx=nxn-12) d…

Q: Find the derivatives of the functions y = ln (sin2 θ)

A: Given equation:

Q: Find the derivative of y with respect to x. y = 2x 4 sin -1 x

A:

Q: Find the first and second derivative of y = e^−2x(cos3x+sin3x)

A: The first derivative of the given function by using the product rule of the derivative:

Q: Can you help me step by step?

A: Differentiate with respect to x,

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

A:

Q: Find the derivative of the function r=sin(θ3)cos(3θ) dr/dθ=?

A:

Q: Find the derivative of the function. sin(x) y = In(1 + 6v) dv cos(x)

A: Find the derivative of the following function

Q: Can you help me with this problem step by step?

A: Given:

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 the function. y = sin-(2x + 1) y' = %3D

A: We need to evaluate the derivative of the following function y = sin-12x+1 Formula Used : ddxsin-1x…

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 = x/2 − sin 2x/4

A: Given function is y=x2-sin2x4 We have to find derivative of given function. Differentiating the…

Q: Find the derivative of the function f(x) = at sin(7x + 14) + In(2r+10)

A:

Q: Can you help me step by step?

A: We need to find the derivative of the given equation.

Q: Find the derivative of the given function. y = x² sin 'x+x cos 4x

A: For     y=fx gx    dydx=fx ddxgx+gxddxfx   This is the multiplication rule of derivative .

Q: Find the derivative of the function.

A: The given function is y=x2-sin2x4

Q: Can you help me step by step with this problem?

A: Obtain the derivative of the given function as follows.

Q: Find the derivative of the function:  y= x sin 3/x

A:

Q: find the first order derivative of the function

A: We have to solve

Q: Can you help me step by step?

A: Given an equation

Q: Find the derivative of y with respect to x. y = 6x° sin -1 (6x) + /1- 36x° dy dx II

A: Given function is By using product rule of differentiation, we get

Q: Find the derivative of the (e) h(x) = e5 sin (Væ) + a° sec ()-

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

Q: y = e* - cos 3x + xlog.(1+x)

A: By using some formula of derivative

Q: Find the derivative of the function sin(x) In(6+4v) dv cos(x) y y'(x)=

A: The given function is,

Q: Can you help me step by step with this problem?

A: Differentiate both sides w.r.t. x.And for addition we can apply the derivative separately on both…

Q: Find the derivative of y with respect to x. Y=ln(13/x) dy/dx

A: Given, y=ln13x we have to find derivative of y with respect to x.

Q: Find the derivative of the function. sin(x) y = /cos(x) In(8 + 3v) dv y'(x) = 0

A: Here we use Leibniz integral rule and define the formula:

Q: Find the derivative of the given function. 2 y = x sin x+x cos -3 dx

A:

Q: - In y = e' sin x

A: We have to find dy/dx of the above equation.

Q: f y = (sin x)x b

A:

Q: Find the derivative of the function. y = x sin 1(2x + 1)

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Q: Find the derivative of the function. y = sin (x + 2)

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Q: Find the derivative of y with respect to x. 10) y = sin-1 (e6t)

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Q: Find the derivative of y with respect to x. y = 4x sin -1 (4x°) + /1– 16x' y = 4x° sin -1 (4x°) +…

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Q: Compute the derivative for y= (e^-4x sin^2(x)) / (x^2 + 3x + 1)

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Q: Find the derivative of y with respect to x. y = sec -1 (2x? + 1), x>0 ..... dx

A: The derivative of y with respect to x is to be calculated, where y=sec-12x2+1, x>0. The results…

Q: Find the derivative of the function y, below. y = 2x(ln x + In 7) – 2x + V2 dy da

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

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Q: Find the derivative of y with respect to x.   y= tan-1 *square root (16x2-1) +csc-1*4x ,   x greater…

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Q: Find the derivative of the function. y = x sin 1/x

A: Given: y=xsin1x We know that ddxu.v=vdudx+udvdx                                                  ..1

Q: Find the derivative of the function. y = cos V sin(tan(3x)) )

A: Topic = Derivative