.D dy + x?y = sin(x) dx

Q: - Find dy /dx for the given function y? cos fy)=2x +2y

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Q: dy for y dx defined implicitly by the equation tan(x²y*) = 3x + y? 1. Find

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Q: FIND DY/DX OF THE FOLLOWING -y=sin' In (x+1)

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Q: find dy/dx. y = cos x/1 + sin x

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Q: for : y = x*+cosx dx dy Find

A: Taking log on both side, then differentiate wrt x by using product rule.

Q: d (sin (x)e*+*) dx dx

A: It is given that, ∫ππ3ddxsin2xe3x+πdxwe have to evaluate it.

Q: Given that y = ebx tan(: dy dx dy dx ||

A: y = e6x tan(5x)ln y = 6x tan(5x)Differentiating w.r.t  x;1ydydx =6x ddxtan5x + tan5x ddx6x1ydydx =6x…

Q: Find dy/dx for the following : 1) y = x + sin x² + sin-1 5x

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

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

A: We have to find the derivative of given function. We will use formula for product of function.

Q: d'y dy tion dx? + sin x = 0 is + y- dx

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Q: dy = x³e¬*sin x +y? xy dx

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Q: find dy /dx for the following Y=sin x

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Q: dy dʻy dx? cos x = 3 when x = - dx Find the original function y given that and y = 4 when x = 0.

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Q: -. Solve for dy/dx a. y = *+ sinx cos x † Sin X

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Q: dy dx if y=Vsinx +sin Vx+ cos(2x)

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Q: A. Find dy dx 9. sin y = In(x + y)

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Q: Find dy/dx given that y = sin(cos(x))

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Q: If y=x2ex sin x,Find dy/dx

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Q: dy Solve Y for y=/4×(sin x) cos dx

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Q: d'y Find for dr? y = 5x? cos(x) + 13 sin(x) d?y dz? ||

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Q: Find the dy/dx given that y = (sin x)x

A: The given value of y is, y = (sin x)x

Q: Find dy/dx for the following function. y=x2cos x sin x

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Q: dy Find dx for the following functions y = In (6x² + 9x³) y tan (e sin4x)

A: on solving this we get

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

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Q: dy dx if e*y = sin-1y+ x²y + Find

A: Given exy2=sin-1y+xy2+yπ

Q: メ tan y.dx イ X" dう ニ ○ 2(ty')

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Q: Find for the following function. dx y = 3 cos x sin x dx II

A: Take derivative on both sides Take the constant 3 out from the function ,

Q: (e) /s sin (x) cos (x) dx

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Q: if y^3 + y = 2 cos x, find the value of d2y/dx2 at the point (0, 1).

A: Given,

Q: dy Find dx 1/4 | sin (?) dt y =

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Q: dy Find for the following function. dx y = 5 sin x+2 cos x dy dx II

A: Given that          y = 5 sinx + 2 cosx  Here we have to find dy/dx .

Q: dy Find dx for y = 14x +5 coS x. d(14x+5 cos x)%3D

A: Formulas:1. ddxxn = nxn-12. ddxcosx = -sinx

Q: Find dy/dx for the following: 1) y = x3 + sin x2 + sin-1 5x

A: Dear, as per company guidelines we can answer only one question at a time, kindly post other…

Q: (d) sin (x )+tan dx – In +y = 0

A: We have to solve given problem:

Q: dy Find dx y = = 5x° sin x coS X

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Q: Given x = 11t – 46 and y = 121 sin t dy dx dy dx? || ||

A: We have to find out the derivative and second derivative of given function

Q: find  dy/dx by the implicit differenation, sin(xy) = cos(x+y)

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Q: dy Find if y = 4 sin?(3x) dx

A: Here we have to find the derivative of function y which is given as above. Here I am attaching a…

Q: Q4: Find dy\dx if|cos'y +5y? = x?

A: The given equation iscos2y+5y2=x2to find dydx

Q: Q3: dy\dx off(x)= tan x cot x is

A: Given,    f(x) = tan(x) cot(x)         = 1   As we know, inverse of tan(x) is cot(x).

Q: If y3 + y = 2 cos x, find the value of d2y/dx2 at the point (0, 1).

A: given, y3+y=2cos xwe have to findd2ydx2 at point (0,1)

Q: 5) Find 业一 dy for y cos(x) sin(x)

A: We have to find the first derivative.

Q: Find dy/dx for the following : 1) y = x3 + sin x² + sin-1 5x

A: As per the company guidelines we can solve first question. I hope that the given solution will help…

Q: Find dy/dx for the following 1) y = x3 + sin x? + sin-1 5x

A: Since you have posted multiple questions, we will solve only first question for you. To getremaining…

Q: b) ſ cos (Inx)dx=?

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Q: Find dy dx the function y=2 sin 3X cos 2X

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Q: I. Find dy/dx in the following: 1. Y= sin In(x + 1)

A: To find the derivative of given function.

Q: dy If x = t? cos? 3t y = 3 sin 3t find dx

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Q: dy dx 2. 2X for y = cos (Inx + e) %3D

A: ddx(Cos(x)) = -sin(x)ddxex =exddx(log(x)) =1xddxxn=nxn-1Chain ruleddxf(f(x)) =f'(f'(x)) Here , In…

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.