if u=x^3*y*e^z where x=t y=t^2 z=logt then find du/dt
You asked:
Given the following equations: \[\begin{aligned}u &= {x}^{3} \cdot y \cdot {e}^{z}\\ x &= t\\ y &= {t}^{2}\\ z &= \log\left( t \right)\end{aligned}\] Evaluate \(\frac{d}{dt}\left[u\left( t \right)\right]\).
MathBot Answer:
\[\frac{d}{d t} u{\left(t \right)} = \frac{d}{d t} u{\left(t \right)}\]