There are 1 questions in this calculation: for each question, the 4 derivative of x is calculated.
Note that variables are case sensitive.\[ \begin{equation}\begin{split}[1/1]Find\ the\ 4th\ derivative\ of\ function\ {x}^{15600} + 2{x}^{5000}({x}^{3000})\ with\ respect\ to\ x:\\\end{split}\end{equation} \]
\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = 2x^{8000} + x^{15600}\\&\color{blue}{The\ first\ derivative\ function:}\\&\frac{d\left( 2x^{8000} + x^{15600}\right)}{dx}\\=&2*8000x^{7999} + 15600x^{15599}\\=&16000x^{7999} + 15600x^{15599}\\\\ &\color{blue}{The\ second\ derivative\ of\ function:} \\&\frac{d\left( 16000x^{7999} + 15600x^{15599}\right)}{dx}\\=&16000*7999x^{7998} + 15600*15599x^{15598}\\=&127984000x^{7998} + 243344400x^{15598}\\\\ &\color{blue}{The\ third\ derivative\ of\ function:} \\&\frac{d\left( 127984000x^{7998} + 243344400x^{15598}\right)}{dx}\\=&127984000*7998x^{7997} + 243344400*15598x^{15597}\\=&1023616032000x^{7997} + 3795685951200x^{15597}\\\\ &\color{blue}{The\ 4th\ derivative\ of\ function:} \\&\frac{d\left( 1023616032000x^{7997} + 3795685951200x^{15597}\right)}{dx}\\=&1023616032000*7997x^{7996} + 3795685951200*15597x^{15596}\\=&8185857407904000x^{7996} + 59201313780866400x^{15596}\\ \end{split}\end{equation} \]Your problem has not been solved here? Please take a look at the hot problems !