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.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ \frac{({((1 - w)x - b)}^{2})}{100}\ with\ respect\ to\ x:\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = \frac{1}{100}w^{2}x^{2} - \frac{1}{50}wx^{2} + \frac{1}{50}wbx + \frac{1}{100}x^{2} - \frac{1}{50}bx + \frac{1}{100}b^{2}\\&\color{blue}{The\ first\ derivative\ function:}\\&\frac{d\left( \frac{1}{100}w^{2}x^{2} - \frac{1}{50}wx^{2} + \frac{1}{50}wbx + \frac{1}{100}x^{2} - \frac{1}{50}bx + \frac{1}{100}b^{2}\right)}{dx}\\=&\frac{1}{100}w^{2}*2x - \frac{1}{50}w*2x + \frac{1}{50}wb + \frac{1}{100}*2x - \frac{1}{50}b + 0\\=&\frac{w^{2}x}{50} - \frac{wx}{25} + \frac{wb}{50} + \frac{x}{50} - \frac{b}{50}\\ \end{split}\end{equation} \]





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