- #1
physicsshiny
- 14
- 1
Homework Statement
Find [itex]\frac{\partial f}{\partial x}[/itex] if [itex]f(x,y)=\cos(\frac{x}{y})[/itex] and [itex]y=sinx[/itex]
Homework Equations
See above
The Attempt at a Solution
For [itex]\frac{\partial f}{\partial x}[/itex] I calculated [tex]-\frac{1}{y}\sin(\frac{x}{y})[/tex] which comes out as [tex]\frac{-\sin(\frac{x}{\sin(x)})}{sinx}[/tex] and this looks really messy. Maybe I'm missing something really obvious or I made a silly mistake (or both), but it looks like this can be made to look neater. Any hints or tips on tidying this expression up would be much appreciated.