Mathematics
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current location:Derivative function > Derivative function calculation history > Answer
    There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ {(3 - 5x)}^{5}\ with\ respect\ to\ x:\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = -3125x^{5} + 9375x^{4} - 11250x^{3} + 6750x^{2} - 2025x + 243\\&\color{blue}{The\ first\ derivative\ function:}\\&\frac{d\left( -3125x^{5} + 9375x^{4} - 11250x^{3} + 6750x^{2} - 2025x + 243\right)}{dx}\\=&-3125*5x^{4} + 9375*4x^{3} - 11250*3x^{2} + 6750*2x - 2025 + 0\\=&-15625x^{4} + 37500x^{3} - 33750x^{2} + 13500x - 2025\\ \end{split}\end{equation} \]





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