dy -x-ly=²sin2x dx || 2 . 2号=2でッる xp

Q: dy Find by implicit differentiation. dx х3 + уз + 3у — 2 %3D0 + Зу — 2 %3D 0

A: f=x3+y3+3y-2 By implicit differentiation dydx=-∂f∂x∂f∂y ∂f∂x=3x2∂f∂y=3y2+3

Q: dy/dx of x + y + xỵ = 3

A:

Q: dy Use implicit differentiation to find dx 3х- 2 4y23= 3x +2 dy

A: Given that  4y^2=(3x-2)/(3x+2) Differentiate the function with respect to x

Q: 3. (D - 3D? + 4)y = 40cos2x + 6

A:

Q: Integrate:  (5e^-3x - cos (6x))dx

A: Integrate

Q: dly dx2 - 2 dy dx -3y = COS X

A: The given differential equation is d2ydx2-2dydx-3y=cosx. We have to find the solution of the given…

Q: .3 Cos x + cos x dx Vsin a 3,

A: Given…

Q: et-x+l 2x –1 -dx by using substitution method. Integrate

A: First I have made a substitution and integral become easy and then solved . I have written all…

Q: dy Find by implicit differentiation. dx 2x2 + 2y2 = 17 %3D

A: Topic = Derivative

Q: Differentiate the function. 71 y=(9-x) 0 dy | dx

A: We can solve this as follows:

Q: dy when x = 0, dx Find

A:

Q: Calculate dy/dx Simplify y=3x-5/2x+4 dy/dx=

A: Solving by derivative we have

Q: Using figualve mme thod X + 2 dt 2. dy X - 29

A: To find the eigenvalues λ of the matrix A, solve the characteristic equation A-λI=0 for λ. To obtain…

Q: Find dy/dx at the point (2,1) if 4y3-x2y2=0

A: Given that: 4y3-x2y2=0

Q: = vt – 2, d²y t – 2. d²y y = t² – 3' dx2

A: x=t-2y=t2-3

Q: dy Use implicit differentiation to find dx x³ – 3 9xy + y = 1 dy xp

A: Differentiate wrt x

Q: dy Use implicit differentiation to find dx 2х - 3 5y? 2x +3 dy dx

A:

Q: Find dy/dx if f(x) = csc (x³ + x + 1)

A: Derivative of the function

Q: Find dy/dx if y = sec^3(1/x)

A: Given:

Q: Use differentiation rules to find y' = dy/dx.

A: To determine the derivative of the function.

Q: Find dy/dx of sin(x + y) = xy^2 − 2x^3

A: Differentiating using chain rule of differentiation

Q: 3. у?dx— x(2х + Зу)dy %3D -

A:

Q: dy Y = tan2 1- dx

A: The equations of the form dydx-P(x)y=Q(x) can be solved by using integrating factor but for the…

Q: Find dy/dx when y=√x^2-x

A: y=x2-x

Q: dy tanx for y = dx 1-secx 1) dy (1-secx)sec x+secxtan2x dx (1-secx) 2) dy (1-s8cx)secx-secxtan²x I3I

A:

Q: Evaluate dy/dx at x=2 and y=3  if   x4 +  y4 =16.

A:

Q: 2. [ y dy dx carctan3/2 3 secx 3/2

A: Topic  = Integration

Q: Find dy/dx in terms of x and y if arcsin (x2y)=xy2

A:

Q: Use implicit differentiation to find dy/dx 4y2=5x-2/5x+2   dy/dx=

A:

Q: Use implicit differentiation to find dy/dx 4G - y = 2x = 2- 4y dx O dy. 2-dy dx

A: It is implicit derivative.

Q: 3. f sin³y(2-3cosy)² dy

A:

Q: 1

A:

Q: /hat is the value of dx at the point (1,0) if y = In(x² +y²)?

A:

Q: dy dx 118 (x = 3x - 5

A: Topic:- differential equations

Q: Find dy/dx for 3sin(x+y) - 2e^y =6x^3 by using implicit differentation

A:

Q: (sinx+1) (cosx+1) dy evaluate dx -If: y =

A: Use the concept for derivative of the form  y = f(x)/g(x)

Q: dy Use an appropriate technique to find dx from x² + y² = (2x² + 2y² -x)*.

A:

Q: dy/dx of y=5^cos(3x+5)

A:

Q: Find the geneul suluticn dy t. + 2y= 2X 2. dx

A:

Q: Find dy/dx by implicit differentiation. бх3 + x2у - хуз %3D9 y' = %3D

A:

Q: Differentiate the function. 1 y3= (2x +3) dy dx

A:

Q: Find dy/dx: rsinx 1. у %3D Sm* 3t2 dt

A: I am attaching image so that you understand each and every step.

Q: dy sin: 8. x +2y = dx y(2) = 1

A:

Q: Cosx 2) ). y dx+ týž - Sinx (²) dy = уч

A:

Q: Determine dy/dx for the equation 5x3+7xy- 3y5 = 9 .

A: To find the derivative (d y / d x).

Q: Find dy when y = 3 1-x %3D dx V1+x

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: 9. 2y(у? — х)dy — dx, when x %3D2,у %3D 2

A: Given that: 9.     2y(y2-x)dy=dx,    when x=2, y=2     NOTE: As per our answering guidelines, we can…

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: