There are 1 questions in this calculation: for each question, the 1 derivative of z is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ ({z}^{4})sin(x) + e^{({x}^{2})({y}^{4})({z}^{2})}\ with\ respect\ to\ z：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = z^{4}sin(x) + e^{x^{2}y^{4}z^{2}}\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( z^{4}sin(x) + e^{x^{2}y^{4}z^{2}}\right)}{dz}\\=&4z^{3}sin(x) + z^{4}cos(x)*0 + e^{x^{2}y^{4}z^{2}}x^{2}y^{4}*2z\\=&4z^{3}sin(x) + 2x^{2}y^{4}ze^{x^{2}y^{4}z^{2}}\\ \end{split}\end{equation} \]

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