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 4 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ 4th\ derivative\ of\ function\ s*2x - \frac{1}{x} - 1\ with\ respect\ to\ x:\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = 2sx - \frac{1}{x} - 1\\&\color{blue}{The\ first\ derivative\ function:}\\&\frac{d\left( 2sx - \frac{1}{x} - 1\right)}{dx}\\=&2s - \frac{-1}{x^{2}} + 0\\=&2s + \frac{1}{x^{2}}\\\\ &\color{blue}{The\ second\ derivative\ of\ function:} \\&\frac{d\left( 2s + \frac{1}{x^{2}}\right)}{dx}\\=&0 + \frac{-2}{x^{3}}\\=& - \frac{2}{x^{3}}\\\\ &\color{blue}{The\ third\ derivative\ of\ function:} \\&\frac{d\left( - \frac{2}{x^{3}}\right)}{dx}\\=& - \frac{2*-3}{x^{4}}\\=&\frac{6}{x^{4}}\\\\ &\color{blue}{The\ 4th\ derivative\ of\ function:} \\&\frac{d\left( \frac{6}{x^{4}}\right)}{dx}\\=&\frac{6*-4}{x^{5}}\\=& - \frac{24}{x^{5}}\\ \end{split}\end{equation} \]





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


Return