Part 2 of 5 Use the Chain Rule to find $$ \frac{d z}{d t} $$, where $$ z=3 x \cos y, x=t^{5} $$, and $$ y=6 t^{4} $$. Points: 0 of 1 $$ \frac{\partial z}{\partial x}=3 \cos y $$ (Type an expression using $$ x $$ and $$ y $$ as the variables.) $$ \frac{d x}{d t}=\square $$ (Type an expression using $$ t $$ as the variable.)

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We are given $$ x = t^5 $$. To find $$\frac{d x}{d t}$$, differentiate with respect to $$ t $$:

$$
\frac{d x}{d t} = 5t^{4}
$$
$$\frac{d x}{d t} = 5t^{4}$$

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