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.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ {(2{x}^{2} + 3)}^{5}\ with\ respect\ to\ x:\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = 32x^{10} + 240x^{8} + 720x^{6} + 1080x^{4} + 810x^{2} + 243\\&\color{blue}{The\ first\ derivative\ function:}\\&\frac{d\left( 32x^{10} + 240x^{8} + 720x^{6} + 1080x^{4} + 810x^{2} + 243\right)}{dx}\\=&32*10x^{9} + 240*8x^{7} + 720*6x^{5} + 1080*4x^{3} + 810*2x + 0\\=&320x^{9} + 1920x^{7} + 4320x^{5} + 4320x^{3} + 1620x\\ \end{split}\end{equation} \]





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