# Quick Calculus Question

• November 12th 2006, 09:14 PM
Nimmy
Quick Calculus Question
Find the dervative of 7x-6/y
• November 12th 2006, 09:27 PM
Soltras
With respect to what?

Are those both functions of some variable? Is y a function of x?
I'll assume for now that they are both functions of t.

Then $\frac{d}{dt} \left( 7x - \frac{6}{y} \right) = 7 \cdot \frac{dx}{dt} + \frac{6}{y^2} \cdot \frac{dy}{dt}$.

I hope that's what you're after.
• November 12th 2006, 11:06 PM
Nimmy
Yes it is y is a function of x

the equation is wrong it is: (7x-6)/(y)
• November 13th 2006, 04:21 AM
topsquark
Quote:

Originally Posted by Nimmy
Yes it is y is a function of x

the equation is wrong it is: (7x-6)/(y)

$\frac{d}{dx} \frac{7x - 6}{y} = \frac{(7)y - (7x-6)y'}{y^2}$
= $\frac{-7xy' + 6y' + 7y}{y^2}$