# Thread: A quick easy one

1. ## A quick easy one

My brain is a little scrambled, so I'm having trouble solving this simple partial derivative. Tell me step by step how it should be solved. I think I understood this problem last semester and I can't now.

Find the first partial derivatives of the function.

27. u = t(e)^w/t

the e is Euler's e.

I think you use the product and chain rule
but there is something in the way.

2. Originally Posted by Undefdisfigure
My brain is a little scrambled, so I'm having trouble solving this simple partial derivative. Tell me step by step how it should be solved. I think I understood this problem last semester and I can't now.

Find the first partial derivatives of the function.

27. u = t(e)^w/t

the e is Euler's e.

I think you use the product and chain rule
but there is something in the way.
$u(t)=te^{wt^{-1}}$

Follow the product rule and then the chain rule as you said...

$u'(t)=e^{wt^{-1}} - te^{wt^{-1}}wt^{-2}$

$u'(t)=e^{wt^{-1}}(1 - \frac{w}{t})$