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 1 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ 5{x}^{2} - 4{({x}^{4} - 1)}^{\frac{1}{2}}\ with\ respect\ to\ x:\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = 5x^{2} - 4(x^{4} - 1)^{\frac{1}{2}}\\&\color{blue}{The\ first\ derivative\ function:}\\&\frac{d\left( 5x^{2} - 4(x^{4} - 1)^{\frac{1}{2}}\right)}{dx}\\=&5*2x - 4(\frac{\frac{1}{2}(4x^{3} + 0)}{(x^{4} - 1)^{\frac{1}{2}}})\\=&10x - \frac{8x^{3}}{(x^{4} - 1)^{\frac{1}{2}}}\\ \end{split}\end{equation} \]





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


Return