Find the equation of the tangent line to the curve
2exy=x+y at (0,2).

The equation of the tangent line to the curve

3 x - y = 2

Step-by-step explanation:

Step(i):-

Given function  = f(x,y) =   ...(i)

Differentiating equation (i) with respective to 'x' , we get

apply  formula

step(ii):-

⇒  

⇒

Taking common d y/d x

put At (0,2)

slope of the curve m = 3

Step(iii):-

The equation of the tangent line to the curve

y - 2 = 3 ( x - 0 )

3 x - y = 2

Final -

The equation of the tangent line to the curve

3 x - y = 2

x = 17

step-by-step explanation:

1st step: isolate x.

24 - 3x = -27

-24         -24

-3x   =   -51

2nd step: divide.

-3x     =   -51

  3             3

  x       =     17

hope this