Mathematics
语言:中文
Language:English

current location:Derivative function > Derivative function calculation history > Answer
    There are 1 questions in this calculation: for each question, the 3 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ third\ derivative\ of\ function\ 36{x}^{2} - {x}^{4}\ with\ respect\ to\ x:\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = 36x^{2} - x^{4}\\&\color{blue}{The\ first\ derivative\ function:}\\&\frac{d\left( 36x^{2} - x^{4}\right)}{dx}\\=&36*2x - 4x^{3}\\=&72x - 4x^{3}\\\\ &\color{blue}{The\ second\ derivative\ of\ function:} \\&\frac{d\left( 72x - 4x^{3}\right)}{dx}\\=&72 - 4*3x^{2}\\=& - 12x^{2} + 72\\\\ &\color{blue}{The\ third\ derivative\ of\ function:} \\&\frac{d\left( - 12x^{2} + 72\right)}{dx}\\=& - 12*2x + 0\\=& - 24x\\ \end{split}\end{equation} \]





Your problem has not been solved here? Please take a look at the  hot problems !


Return