Question

Let h(x)=xe^x. Find d/dt h(x) if x=x(t)

Answer 1

Can yo find d/dx h(x) ?

Answer 2

*you

Answer 3

Note that chain rule will come in handy here. :-)

Answer 4

Note:
\[\frac{d}{dt} h(x) = (\frac{d}{dx}h(x)) \times(\frac{d}{dt}x)\], where x = x(t)

Answer 5

So far I got d/dt x(e^x d/dt x + x d/dt e^x)

Answer 6

My advice is to find \(\frac{d}{dx} (h(x))\) first.
Then, find \(\frac{d}{dt} x(t) \).
Finally, multiply the two answers and replace all x by x(t)

Answer 7

Oh I see. Thanks a lot!

Answer 8

FYI, that's chain rule as @ChristopherToni has said.