differentiability: If u, v, w nonzero diff. functns, then...

[ashley123456789]

If u, v, and w are nonzero differentiable functions, then the derivative of uv/w is _____ .


i know you need to use quotient rule and that the bottom of the fraction will be w^2 but that is about it.
any help would be great. thanks

 

[jwpaine]

Re: differentiability

\(\displaystyle \frac{uv}{w}\)

Differentiate:

\(\displaystyle \frac{(uv)'w - (uv)w'}{w^2}\)

Use product rule in numerator