# Homework Help: Total/Partial derivatives

1. Feb 21, 2012

### Ted123

Are the following equalities between total and partial derivatives true if $\frac{dy}{dx}=f(x,y)$? $$\displaystyle \frac{df}{dx} = \frac{\partial f}{\partial x} + \frac{\partial f}{\partial y} f(x,y)$$ $$\displaystyle \frac{d^2f}{dx^2} = \frac{\partial f}{\partial x}\frac{\partial f}{\partial y} + \left( \frac{\partial f}{\partial y} \right) ^2 f(x,y)$$

2. Feb 21, 2012

### fauboca

This is a good resource
http://en.wikipedia.org/wiki/Total_derivative

3. Feb 21, 2012