Find the differential of the function y=lntan2x at x=π/8.

Q: Find the approximate value of √0.95 using differential

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Q: Find the differential of the function: y = x In x

A: Solution:Giveny=x ln xTo find the diffferentiationformula:(uv)'=uv'+vu'ddxxn=nxn-1ddxln x=1x

Q: Find the differential of the function. Y = e2x

A: Given function is  y= e2x

Q: find the differentials of the first and second orders u=xyz

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Q: ५ = (+गुंग्ट

A: Given- dydx=1+y2ex To Find- The solution of the above differential equation.

Q: An integrating factor for the differential dy + my = e-m² is dx equation

A: Given differential equation is dydx + my = e-mx

Q: Find the 80th derivative of y = cos(2x).

A: The given function is y=cos(2x)

Q: Find the differential of the given function.

A: Given function - z = 1-2v+v4-23Differentiating on both sides with respect to v -dzdv =…

Q: Find the differential dy of the given function y=extanx

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Q: Find the differential of the function y = x- sin x.

A: Given: y=x2-sinx

Q: Find the differential of the function y=√x3+4x at x=2.

A: Given the function:

Q: Form the differential equation by elimanating the arbitary constant A,B fror V=Ae7x+Be-7x

A: y = Ae7x + Be-7x

Q: A company will sell N units of a product after spending $x thousand in advertising, as given by N =…

A: We are given that N=50x-x2, 5≤x≤25. Now, dN=50-2x dx. First, increase the advertising budget from…

Q: Calculate the differential of the function y=x5−7x3+5x at the point x=2 when dx=0,2.

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Q: Find the Differential Equation of the following family of curves 4. Straight lines with slope half…

A: The equation of straing line is given byy=mx+cwhere,m=slope=dydxand, c=y-interceptat…

Q: Given the differential equation: D(sin x-cosx+3e +x) What is the second derivative?

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Q: Write the differential equation satisfied by y = Cekt.

A: Given equation is              y=Cekt

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

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Q: Find the 3rd derivative of y = xlnx. (SOLVE BY USING DIFFERENTIAL EQUATIONS)

A: Given : f(x) =y= x lnx To find : Third derivative of given function

Q: show Itat the differential equation メり dy - -2-ye" dx xーとリ Xe 29 its exact and find its Folution

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Q: Calculate the differential of the function y=2x x2−3 at the point x=3 when dx=−315.

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Q: Find the y 'values and differentials for?

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Q: Find the nth derivative of the function y=ln(ax+b).

A: Given function is Differentiating with respect to x repeatedly, we get In general,

Q: Form the differential equation by elimaniting the arbitary constant A,B from y=Ae7x+Be-7x

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Q: Determine the first derivative of the ff. function y = Vxe2* cos x

A: Derivative of a function gives the tangent of the curve at a given point. Derivatives are used to…

Q: Find the nth-order differential of the function y=2x.

A: To find nth order differential of the given function.

Q: Find the differential of w = ln /x² + 3y² + 2z²

A: Here we use chain rule of differentiation to find the required differential. According to chain rule…

Q: Find the differential of the function y=xxe2x at the point x=1.

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Q: Find the differential of the function y=sin23x.

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Q: Find the differential equation of all circles passing through the origin and having their centers on…

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Q: 2. Find the derivative of the function. y = e* In (sinæ)

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Q: dy = ky| 1- dx L)

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Q: Find the equivalent differential equation for all tangent lines of the parabola y = x^2

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Q: Find the differential equation corresponding to y=a cos (logx) +b sin(log x)

A: Chain rule of differentiation: [f(g(x))]'=f'(g(x))g'(x) Formulae used: ddxcos x=-sin xddxsin x=cos…

Q: Find the differential of the given function y = xcosx

A: To differentiate

Q: Find the second differential of the function y=x2cos2x.

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Q: what is the differential coefficient of x.

A: To find differential coefficient of x we need to differentiate x with respect to x.

Q: Find the differential for y = tan 2x2

A: Find the differential equation for given equation We need to take derivative for tan using the…

Q: Find the 85th derivative of y = cos(3x).

A: Do the derivative many times and observe the pattern that derivative follows. Generalized it and…

Q: Find the serial solution of the differential

A: We have to find out the series solution of the differential equation y''-xy=0 at the neighborhood at…

Q: dy :-y = xy2 dx

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Q: 4x dx

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Q: Find the differential of y=xsinπx2 at the point x=12 when dx=0,01.

A: We will use product rule and chain rule to find dy/dx

Q: Find the differential of the function y=sinx−xcosx.

A: Given,

Q: Find the seperable differential equation

A: A differential equation dydx=f(x,y) is said to be a separable equation if the given function fx,y…

Q: Find the differential equation corresponding to y=acos(logx) +b sin(logx)

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Q: Solve for the differential of y when y- sinax. x= and dx O o o

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Q: Solve for the differential of y when y=sinx, x=–, and dx =-. 3

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Q: Calculate the increment and differential of the function y=x2−x+1 at the point x=2 when dx=1.

A: Given, the function is y = x2 -x +1 at the point x = 2 and dx = 1, We have to calculate the…