# Math Help - Manyfolds problem

1. ## Manyfolds problem

A function is homogeneous of degree if for all and . If is also differentiable, show that

I cant do it

Help please¡¡

2. Originally Posted by osodud
A function is homogeneous of degree if for all and . If is also differentiable, show that

I cant do it

Help please¡¡
Differentiate the equation $f(tx_1,tx_2,\ldots,tx_n) = t^mf(x)$ partially with respect to t (keeping $x_1,x_2,\ldots,x_n$ constant and using the chain rule), then put t=1.