3. If y = (5x)sin(3x), then dy dx ||

Q: =D{sinh(2r) – ţa dy/dx agi

A: We know that sinhx' = coshxx' = 1 and (f(g(x))' = f'(g(x))g'(x)

Q: Find the general solution of dy dy dx =sin 2x dx

A:

Q: Find dy dx? if y= 5cos2x-4sin 2x at x =0

A:

Q: .2 x sin (xy) dy dx Jo Jo

A:

Q: d [ sin(x)cos(x) dx dx 1+x4

A: Find the integral

Q: ( 2x – sin y) dx – (x cos y) dy = 0 -

A:

Q: Q3) Find dy/dx if 1- y= In x 2- y=x sinx+1-x

A:

Q: [y²e + √elnx dy-(xy) sin² ( * O) + (---) (-) sin² tan² ,dx ey+Inx dy y(In2x-lny) -ex. dx = 0

A: We can solve this using substitution method of ordinary differential equation

Q: If y=sin-1x then dy/dx= 1/dx/dy for all x in [-1,1] True or False.

A: Given statement If y=sin-1x then dy/dx= 1/dx/dy for all x in [-1,1] is false.

Q: what is dy/dx?

A:

Q: Find dy/dx at x=0 if y= Cosu and y--3x

A:

Q: If y=(sin3x-cos3x)², find dy dx

A:

Q: find dy/dx. y = -10x + 3 cos x

A:

Q: find dy / dx if y2 - x2 - sin xy = 0.

A:

Q: 28. Differentiate implicitly to find dy/dx if x + x/y = 7.

A: Given, x3+x/y=7 we can also write as yx3+x=7y,  or y=x7-x3 derivate both side w.r.t x…

Q: 4 Find dx for y = - +7 sin x. X

A:

Q: In (3x) Find the derivative of y with respect to x if y= sin (7 e') dt. dy dx

A: Given : A function is given as: y=∫0ln3xsin7etdt To find : The derivative of the function y.…

Q: If y = (4x) sin ( 3z) then %3D dy dx (Be sure to express your answer in terms of x)

A:

Q: b. sin 2xdy – 2(y - cosx)dx = 0; when x = 1/4, y = 0

A:

Q: Find dy/dx, if y= (3+cos x) ^(2x+1)

A: Given- y=3+cosx2x+1 To find- dydx Here we will use the following formulas- ddx(uv)=dudx(v)+dvdx(u)…

Q: e (sinh x dx + cosh x dy) = 0

A:

Q: 2- X %3D +2 3- Coshx dy +(y sinh x+e) dxo 36

A:

Q: 1. S e sin 4x cos 4x dx 2. S dx Je-2x dx e 2x

A:

Q: Find dy/dx of y=sin-!x+cos -!x dy/dx is Blank 1.

A:

Q: So S (2x – sin(y)) dx dy.

A:

Q: 5. Find y', if y = 2cosx sin2x – sinx cos2x day 6. dx if y = 1-cos4x 1+cos4x dx² dy 7. a if y = In…

A: (7) Let y=lnsinh 5θ and x=cosh(4θ)

Q: 8/ (e* sin y +3y)dx -(3x-e* sin y)dy = 0

A: Given thta  The differential equation

Q: find dy/dx if y = (sin-1 x)2

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

A:

Q: Find dy/dx for y = 3l(sin-(e-3**)12 dy 3(sin"(e-*)* In3 2(sin-"(e-3x*)- dx 1(-6х) V1-e-6x2

A:

Q: 4. (y² cos x - 3x²y - 2x) dx + (2y sin x - x³ + Iny) dy = 0, when x = 0, y = e

A: exact differential equation

Q: 5. Solve dy dy + y = 2sin(3x) dx - dx? using the method of undetermined coefficient.

A:

Q: dy In(5x + 5) Find for y = - dx 3e2x dy dx

A: Given, y=ln(5x+5)3e2x

Q: Let e 2* = 2 find dy dx at x = 1

A:

Q: 1. If y = sin x² x =²), ex find dy dx

A: Given y=sinx2-xex To find dydx

Q: Whatis the derivative of y = sin (2x − 1)? dx = 2 cos (2x - 1) dy dx = cos 2x dy -2 cos (2x - 1) cos…

A:

Q: 2. 2メ dy dx for y = Cos (ln x + e put lに

A: y = cos2(ln(x) + e2x)

Q: 4. cos x dy + y(sin x – 1)dx = 0; when x = T, y = -2

A:

Q: Find dy/dx if y = In (tan(x). 3sec(x) + /sin (x³)

A:

Q: 1) Find dy/dx if : y In (tan¬ x)

A: Given : y = lntan-1x

Q: 3. Find dy dx y= 3 Sin.

A: Find derivative

Q: y=sin-1x

A:

Q: 3- Coshx dy +ly sinh x +e) dx

A: We have to find the solution of differential equation

Q: 4- Find dy/dx for y = 3[(sin-(e-3x*)1² dy 3(sin-(e-3*)1* In3 2(sin-'(e-3**) 1(-6x) %3D dx V1- e-6x2

A:

Q: In (3x) Find the derivative of y with respect to x if y = sin (7 e') dt. %3D dy dx

A: Given y=∫0ln3xsin7etdt.We need to find dydx

Q: (). dy 11 if y = sin-1 d.x Find dy = dx

A:

Q: dy/dx at the same point (1,0) is

A: Given: The equation is y = ln ( x2 + y2 ) and the point (1 , 0).

Q: Find dy/dx Find dy/dx y =x² sin°(2x²) x*y? = 1

A: To differentiate y=x2sin2(2x2), with respect to x, use the product rule,…

Q: Find dy/dx if y = In (tan(x).3$ec(x) + /sin (x³)

A: given,

Q: If y = (4x² – 3x+ 2)(e2* – cos 3x), then find dy at x = 0. dx -2x %3D - -

A: