There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ {(1 - t)}^{3}a + 3t{(1 - t)}^{2}b + 3{t}^{2}(1 - t)c + {t}^{3}d\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = -t^{3}a + 3t^{2}a - 3ta + a + 3t^{3}b - 6t^{2}b + 3tb + 3t^{2}c - 3t^{3}c + t^{3}d\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( -t^{3}a + 3t^{2}a - 3ta + a + 3t^{3}b - 6t^{2}b + 3tb + 3t^{2}c - 3t^{3}c + t^{3}d\right)}{dx}\\=&0 + 0 + 0 + 0 + 0 + 0 + 0 + 0 + 0 + 0\\=&0\\ \end{split}\end{equation} \]

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