Home
Class 12
MATHS
If x y+y^2=tanx+y ,t h e nfin d(dy)/(dx)...

If `x y+y^2=tanx+y ,t h e nfin d(dy)/(dx)dot`

Text Solution

AI Generated Solution

To find \(\frac{dy}{dx}\) for the equation \(xy + y^2 = \tan x + y\), we will differentiate both sides of the equation with respect to \(x\). Here’s a step-by-step solution: ### Step 1: Differentiate both sides of the equation We start with the equation: \[ xy + y^2 = \tan x + y \] Now, we differentiate both sides with respect to \(x\). ...
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIATION

    CENGAGE ENGLISH|Exercise Solved Examples|28 Videos

  • DIFFERENTIATION

    CENGAGE ENGLISH|Exercise Concept Application 3.1|1 Videos

  • DIFFERENTIAL EQUATIONS

    CENGAGE ENGLISH|Exercise Matrix Match Type|5 Videos

  • DOT PRODUCT

    CENGAGE ENGLISH|Exercise DPP 2.1|15 Videos

Similar Questions

Explore conceptually related problems

If x y+y^2 = tanx+y ,then find (dy)/(dx)

If y^x=x^y ,"then find"(dy)/(dx)dot

If y^x=x^y ,then find (dy)/(dx)dot

If y=sqrt(log{sin((x^2)/3-1)}),t h e nfin d(dy)/(dx)dot

If x=e^y+e^((y+ tooo)) , where x >0,t h e nfin d(dy)/(dx)

If y=sqrt(log{sin((x^2)/3-1)}) , t h e n find (dy)/(dx)dot

If x=(2t)/(1+t^2),y=(1-t^2)/(1+t^2),t h e nfin d(dy)/(dx)a tt=2.

If a x^2+2\ h x y+b y^2+2\ gx+2\ fy+c=0 , find (dy)/(dx) and (dx)/(dy) . Also, show that (dy)/(dx)dot(dx)/(dy)=1 .

If y=(tanx)^((tanx)^((tanx).... ∞) ,then find (dy)/(dx) at x=pi/4

If y=f(a^x)a n df^(prime)(sinx)=(log)_e x ,t h e nfin d(dy)/(dx), if it exists, where pi/2