Multivariate functions: Partial derivatives
Chain rules for partial differentiation
Use a chain rule to compute the derivative \(\frac{\dd z}{\dd t}\) of the function \[z(x,y) =x^3 \cdot y\] with \[x = t^3\quad\text{and}\quad y = t^5\tiny.\]
\( \frac{\dd z}{\dd t}={}\) |
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