d²y c. Find dx? if y= sin’0 , x= cos’e

Q: Find dx implicitly, if e*(e- 1) + sin(2x + 5y) = In(v7) -- cot(2x) y+2

A:

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

A:

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

A:

Q: d'y dy and dx 2. Find by implicit differentiation. dx? 5xy? = 1

A: The given function,    5xy2=1

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

A:

Q: dy 3. dx y – x + cos - -

A:

Q: Find dy/dx and d2y/dx2. x = 8? + cos ?,    y = 9? − sin ?

A:

Q: dy 7. dx cos(x + y), when x = 0,y = 4

A:

Q: dy 1- IF y = cos(3 cos 2x) find dx

A:

Q: dy If dx = COS s 2x, then what is y?

A: The derivative is given by dydx = cos2x                         ........(1)

Q: dy If x=5+ cos20 and y=3- sin20 , what is dx

A: We have to solve the problem

Q: dy Find if cos(xy) = x2 + y?. Show your work. dx

A: Differentiate wrt x

Q: dy Find dx if e cos r 1 + sin(ry)

A: Differentiation is the rate of change in the value of dependent variable with respect to the change…

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

A:

Q: J cos 3x cos 4x dx :

A:

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

A:

Q: SOLVE THE FIRST ORDER DE. dy – yln(yecosx)dx = y sinx dx

A: dy-yln(yecosx)dx=ysinxdx

Q: dy 11. = cos(In z) dx

A: The given data is: dydx=coslnx  To solve the differential equation.

Q: dy/dx= 4 cos 4x

A:

Q: 23. Lx? sin y dy dx

A: Given: ∫-11∫0πx2sinydydx for finding given integral we integrate one by one

Q: If y? In(x) = 5, find dy/dx. dy dx

A: This question is based on differentiation with respect to x.

Q: cinxo ) 2X. dy dx Find for y= cos ( Inx + e

A: We have to find the derivative.

Q: y = cos s (2² + 7) dy Find dx dy dx

A:

Q: find dy/dx y = cos (x2)

A: Given y=cosx2 Applying derivative with respect to x: Using chain rule:…

Q: Find dy Ser ysX"+3*+ e° dx + sin (1nx)

A: Given that: y=xy+3x+ecos-1x+sinlnx

Q: dy Find dx if y = cos (4x - 3x + 1) s*(4x²-3x + 1)

A: Given that, y=cos4(4x2-3x+1)

Q: dy dx if e*y = sin-1y+ x²y + Find

A: Given exy2=sin-1y+xy2+yπ

Q: Find dy/dx for y=cos^-1(x^1/2)

A:

Q: dy 4) Find dx when y² – x² + cos(x + y) = 0

A: As we know that the derivative of : ddx(xn)=nxn-1 ddx(cos(x))=-sin(x) ddx(f(g(x)))=f'(g(x))g'(x)

Q: (4e²+7x°+5 cos z + 2)dx

A: Solve integration

Q: find dy/dx and dy/dx2, if : x = a(cosθ + θsinθ) and  y = a(sinθ - θcosθ)

A:

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

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

Q: S S som'e dx cos'x

A: Perform integration

Q: i. S(e** cos(2x)) dx

A:

Q: dy find the dx +Ince 义 9 = sin In Cl+e)

A: The given problem is solved below in detail.

Q: d²y if y = 5x cos x. dx? Find dy dx? ||

A:

Q: Find dy/dx. y = ln(Cos23x)

A: Given query is to find the derivative of the expression.

Q: e cos (2x) dx

A: The given integral ∫e-xcos2xdx can be evaluated as, Let,  I=∫e-xcos2xdx By applying integration by…

Q: (d) ƒ COS √1+sin x dx, (e) cos(lnx) S dx Т

A:

Q: dy Find dx if y = a (sin (1))". dy

A:

Q: dy = sin (t) and x= cos (5t-2), hence find dx Given that y 3=

A:

Q: b f sin'x. cos²x.dx ef cos(Inx).dx C-

A:

Q: b) ſ cos (Inx)dx=?

A:

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: 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

A:

Q: dy 7. dx = cos(x + y), when x = 0,y == 4

A: Differential equations, with substitution method and separation of variables

Q: Find (dy)/(dx) : y = e13x cos x

A: Given:y=e13x cosxFormula:ddxuv =uv'+vu'