dy = y|* – sin x. In x when y equal to: dx

Q: dy dx Sin (x+y=1)

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Q: dy If y = sin='(cos x) then dx ||

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Q: dy Find for y = tan-(3z) de Ans=

A: A detailed solution is given below.

Q: y = In (sin x) Find dy dx

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Q: dy Find dx x/3 S sin (P)at y = dy dx

A: Leibniz rule:

Q: dy Given y = In(tan 0), find 0 such that 4, where 0< 0 <T 2

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Q: dy Q2 Find dx of x = tan(y)?

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Q: dy given that In(x + y2)-tan-1 31) Find = 0. dx

A: Given: lnx2+y2-tan-1yx=0 To Find: dydx=?

Q: dy is let y = (sin æ)*an 7 then dx

A: Given

Q: Q2 Find for dx y= sin(t) tan(r +1) t' +1

A: The given parametric equations are y=sint tant2+tx=1t2+1 We have to find dydx. The derivative of…

Q: Find dy/dx for the fo d) x' + x.tan y = y -1

A: There are multiple question, As per our company policy ask other question separately. d.

Q: dy given that In(x + y2)-tan- = 0. Find dx

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Q: x³ ex? dy y In y 2. dx ||

A: Given:                dydx=x3ex2y ln y Simplify:              y ln y dy=x3ex2 dx Integrate both…

Q: D. (e' sin y+ tan y) dx+ (e cos y +x sec y) dy 0

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Q: 1+ x 1 then find dy when – 1<<1. dx If y = tan

A: We will find out the required value.

Q: dy 1) = dx cos(x – y) + sin(y+x)

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Q: dy for y = 3 sin-(x²). J. Find dx

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Q: dy at t = dx? Let x = 3 cos t, y = 4 sin t. Find 4

A: Derivative Question

Q: Q1-If x= cot- VE, y =, find d²y dx' dx2 at t = 2.

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Q: If y = In(x² + 5) + sinx function then ay at x = 0 is ? dx 11 10 1 10 O 1 O 5

A: Given, y=lnx2+5+sinx  We have to find  dydx at  x =0

Q: Given tanh-1(xy) = xy, find d²y dx2

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Q: If y = In(2x+3) , then find dy at x = 0. dx

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Q: 14) find the respect of y with respect to x Y=(6x+5)^x dy/dx=?

A: Given function: y=6x+5x Taking log to the both sides logy=log6x+5x We know that logxa=a log(x) So,…

Q: - (2y cosx + sin* x)dx : sin x dy, when x =y= 1 %3D

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Q: Find for the following function. dx y= 5x° cos x sin x dy dx II

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Q: dy sin(4x) Find for y dz V1 - x4 dy de

A: The given expression is y=sin(4x)1-x4. Find the derivative of the expression. The quotient rule of…

Q: The linear approximation at x = 0 to sin(2x) is A + Bx where A is: and where B is:

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Q: dy 4 sin 2x, y = 2, when x = 1/2 dx

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Q: Given that x cos y + y cos x = 1, find dy/dx.

A: Given that, xcosy+ycosx=1. The objective is to find the implicit differentiation of xcosy+ycosx=1…

Q: dy Find dx for y = (1+ æ)* || Ans=

A: Here we can find the derivative as below.

Q: dy if y = vt' -e' and x = dx Determine In(6t)

A: dy/dx = [7/2 t^5/2 - e^t] [ln(6t)]^2/ t^2 [3ln (6t) -1]

Q: dy Find dx y = = 5x° sin x coS X

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Q: dy Find dx' given In y = e" sin x

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Q: dy for y=In (x² +1}+ (sin x +5)*. Find dx

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Q: dy Find of y* = sin(e) + xtan-'x %3D dx

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Q: dy Given y= 5e3X + sin x, -is dx

A: differentiate y with respect to x  with the help of differentiation properties we will solve the…

Q: dy -y In (yecos)dx 4. COS Y sin x dx

A: The detailed solution is given below Thank you

Q: ind the derivative dy/dx of the function x=arctanet, y=1+e2t at t=0.

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Q: tind dy at C) Find dy xé+sin(xy+y- Inz

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Q: Find the value(s) of at y= 1 given that x2y+y2 = 5. dx

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Q: (e* – sin y) dx + cos y dy = 0; when x = 0,y = 1 - %3D

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Q: 1. Given xy = sin x , show that d'y 2 dy +=+y = 0. dxx dx

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Q: dy 4. = 4 sin 2x ; y = 2, when x = Tt/2 dx

A: Given a differential equation, dydx=4sin2x ; y=2 where x=π2 To find the general solution of the DE.

Q: 5. (e* – sin y)dx + cos y dy = 0; when x 0,y = 1/2

A: First we will convert the given differential equation into linear differential equation by…

Q: dy Using the product rule for the dx function y = e3" sin x is equal to

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Q: Find d & . dy x = 4 sin t y = 5 cos t 0 <t < 2#

A: Given,           x=4sint           y=5cost ;    0&lt;t&lt;2π

Q: Ql find dy 2メ for y= cos ( Inx + e %3D dx

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.