There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
Note that variables are case sensitive.\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ ({x}^{2} + sqrt(4 + {x}^{4}))cos(x)\ with\ respect\ to\ x:\\\end{split}\end{equation} \]
\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = x^{2}cos(x) + cos(x)sqrt(x^{4} + 4)\\&\color{blue}{The\ first\ derivative\ function:}\\&\frac{d\left( x^{2}cos(x) + cos(x)sqrt(x^{4} + 4)\right)}{dx}\\=&2xcos(x) + x^{2}*-sin(x) + -sin(x)sqrt(x^{4} + 4) + \frac{cos(x)(4x^{3} + 0)*\frac{1}{2}}{(x^{4} + 4)^{\frac{1}{2}}}\\=&2xcos(x) - x^{2}sin(x) - sin(x)sqrt(x^{4} + 4) + \frac{2x^{3}cos(x)}{(x^{4} + 4)^{\frac{1}{2}}}\\ \end{split}\end{equation} \]Your problem has not been solved here? Please take a look at the hot problems !