Answer:

Step-by-step explanation:
We want to differentiate the equation:

With respect to <em>t</em>, where <em>x, y, </em>and <em>z</em> are functions of <em>t. </em>
<em />
So:
![\displaystyle \frac{d}{dt}\left[x^2-y^3+z^4\right]=\frac{d}{dt}\left[1\right]](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cfrac%7Bd%7D%7Bdt%7D%5Cleft%5Bx%5E2-y%5E3%2Bz%5E4%5Cright%5D%3D%5Cfrac%7Bd%7D%7Bdt%7D%5Cleft%5B1%5Cright%5D)
Implicitly differentiate on the left. On the right, the derivative of a constant is simply zero. Hence:
