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.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ h - \frac{2h{(x - A - B)}^{2}}{({C}^{2})}\ with\ respect\ to\ x:\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = - \frac{2hx^{2}}{C^{2}} + \frac{4hAx}{C^{2}} + \frac{4hBx}{C^{2}} - \frac{2hA^{2}}{C^{2}} - \frac{4hAB}{C^{2}} - \frac{2hB^{2}}{C^{2}} + h\\&\color{blue}{The\ first\ derivative\ function:}\\&\frac{d\left( - \frac{2hx^{2}}{C^{2}} + \frac{4hAx}{C^{2}} + \frac{4hBx}{C^{2}} - \frac{2hA^{2}}{C^{2}} - \frac{4hAB}{C^{2}} - \frac{2hB^{2}}{C^{2}} + h\right)}{dx}\\=& - \frac{2h*2x}{C^{2}} + \frac{4hA}{C^{2}} + \frac{4hB}{C^{2}} + 0 + 0 + 0 + 0\\=& - \frac{4hx}{C^{2}} + \frac{4hA}{C^{2}} + \frac{4hB}{C^{2}}\\ \end{split}\end{equation} \]





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