# Differentiating mult-variable equation

1. Dec 16, 2003

### dbrag

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

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

2. Dec 16, 2003

### himanshu121

Differentiate w.r.t x

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

3. Dec 17, 2003

### HallsofIvy

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

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

I see no reason to use "logarithmic differentiation".