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 2 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ second\ derivative\ of\ function\ {(2x - y)}^{4}\ with\ respect\ to\ x:\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = 16x^{4} - 32yx^{3} + 24y^{2}x^{2} - 8y^{3}x + y^{4}\\&\color{blue}{The\ first\ derivative\ function:}\\&\frac{d\left( 16x^{4} - 32yx^{3} + 24y^{2}x^{2} - 8y^{3}x + y^{4}\right)}{dx}\\=&16*4x^{3} - 32y*3x^{2} + 24y^{2}*2x - 8y^{3} + 0\\=&64x^{3} - 96yx^{2} + 48y^{2}x - 8y^{3}\\\\ &\color{blue}{The\ second\ derivative\ of\ function:} \\&\frac{d\left( 64x^{3} - 96yx^{2} + 48y^{2}x - 8y^{3}\right)}{dx}\\=&64*3x^{2} - 96y*2x + 48y^{2} + 0\\=&192x^{2} - 192yx + 48y^{2}\\ \end{split}\end{equation} \]





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