Differentiating mult-variable equation

[dbrag]

Any ideas for solving this, I am having trouble using implicit differentiation along with using log differentiation, thanx!:

x^3 + x tan^-1 y = e^y

 

[himanshu121]

Differentiate w.r.t x

\frac{df(y)}{dx}=\frac{df(y)}{dy}\frac{dy}{dx}

 

[HallsofIvy]

In other words, the derivative of y with respect to x is:


3x²+ tan^-1y+ xy'/(1+ y²)= e^yy'. Now solve for y'.

I see no reason to use "logarithmic differentiation".