[8] Find y' of e'sinx=y/x

Q: B- The derivative is y = ln (sec (In 0))

A: Solution ) y = ln (sec(ln θ)) Using chain rule  dy/dθ = (ln m/dm) × (dm/dn ) × (dn/dθ ) m = sec(ln θ…

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

A: Given function is  y= e2x

Q: Can you help me step by step?

A: Given function is

Q: part ii, thank you very much.

A:

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

A:

Q: 3. Find the derivative of the function. y = In(t2) – arctan(-

A:

Q: 1. Find the first derivative of the given function given. a. y = sint cos t b. y = 6 tan(2n + 3x)

A: In this question we have to find the first derivate of the given function.

Q: find the derivative of y with respect to x, t, orθ, as appropriate. y = esin t(ln t2 + 1)

A: The variable is t in this equation  So we will differentiate with respect to t   We will use the…

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

A: Given: y=x2-sinx

Q: |- find the general Solestion of the differential eq ladich

A: Note : According to company guidelines we can solve only first question. So please post other…

Q: Solve the differential equati on. dz (log x) = –(log z) dx X

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Q: Find the differential d8y of the function y=exsinx.

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Q: A// Find the derivative of y with respect to x 5) 3tan-1x + sin-1x = 4 6) y = ln- 1+ ex = la,

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Q: find dy/dx by implicit differentiation x2y2 = 1

A: According to the question, we have to find the differentiate x2y2=1 by implict differentiation,…

Q: Find dy/dx by implicit differentiation. x2y3 - 12xy2 = 11

A: Implicit Differentiation Method: 1. By taking d/dx on both sides of equation. 2. Then solve For y'.

Q: 10) Find the second derivative of k(z) = 4 cscz.

A: Given: kz=4cosecz for finding second derivative of given function, we find first derivative then…

Q: Compute the derivative of the function y=x2/ln x at x=e.

A:

Q: Find dy/dx by implicit differentiation   x2 + 5x + 9xy - y2=4

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Q: of the differential equati

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Q: 1) y"+ y – 2y = e" + 4 sin x + x² – x solve this differential equation from derivative operator.

A:

Q: Find the derivatives of the functions y = ln cos-1 x

A: The given function is y=lncos-1x.

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: Find the differential d3y of the function y=xsinhx.

A:

Q: The derivative of the function 3+ln x is: y = cos(In x)

A: y=3+ln(x)cos(ln(x)Differentiate w.r.t.xApply the Quotient Rule:  fg'=f…

Q: 1. Find the second derivative of the following functions with respect to x. y = 3x2 + 5x - 1   2.…

A:

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

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

Q: Find dy/dx by implicit differentiation. y3+9xy+4x3-12x=0

A: Here we can find the derivative as below

Q: 2. Find y' by implicit differentiation. (5) xy =1+ xy

A:

Q: find th first derivative: x=2cos2 t/2

A: we need to find the first derivative of

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

A:

Q: The function y(x) is defined by the implicit equation x2−√ylny=1. Find its differential at the point…

A: Differentiate both sides with respect to x and solve for dy/dx

Q: Let y = x(ln x)² – 2x In x. Find the value of X for which the second derivative, y" (x), equals…

A: Solve the following

Q: What is the first derivative of the expression (xy)× = e?

A: See the details solution in below

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

A:

Q: ey sin x = x + xY %3D

A: Solution:- The given implicit function is  ey sinx=x+xy

Q: cos(x² + y²) = y² sinx² y² = ln(x² + y²)

A:

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

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Q: 24. What does it mean to say that dV is an exact differential?

A: What do you mean by dV is an exact differential.

Q: Find the second derivative y “ of " of y = 5z +sin zcosz

A:

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: 6. Let y + xy - y = 8x*. a) Find dy/dx using implicit differentiation. b) Find the equation of the…

A: In implicit differentiation, when we differentiate y, we use dy/dx

Q: 4 sin x-3 2. Find the first derivative of y =150xcos (10x)+ 9 In(J16-x)

A: use derivative of y

Q: 7) Find the derivatives in a) y = (1+e')lnt

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: Find the derivative of y with respect to x for y = sinh - 1 ' (11/9x).

A: From the given problem:   y=sinh-1119x...(1)   Now simply write as: 119x=11· 3x=33x   Substitute…

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: I FIND THE SECOND DERIVATIVE(y") OF THE FF IN ITS SIMPLIFIED FORM 3x-4 1. Y= Arctan

A: To find second derivative of the given function.

Q: 1 Solve for the differential of y when y=sinx, x=÷, and dx=-

A: Solution. A is true.

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

A: Let z= 6x^2+1 Substitute that. Then take d/dx on both sides.

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

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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…