There are 1 questions in this calculation: for each question, the 4 derivative of x is calculated.
Note that variables are case sensitive.\[ \begin{equation}\begin{split}[1/1]Find\ the\ 4th\ derivative\ of\ function\ {x}^{156} + 2{x}^{5000}({x}^{3000})\ with\ respect\ to\ x:\\\end{split}\end{equation} \]
\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = 2x^{8000} + x^{156}\\&\color{blue}{The\ first\ derivative\ function:}\\&\frac{d\left( 2x^{8000} + x^{156}\right)}{dx}\\=&2*8000x^{7999} + 156x^{155}\\=&16000x^{7999} + 156x^{155}\\\\ &\color{blue}{The\ second\ derivative\ of\ function:} \\&\frac{d\left( 16000x^{7999} + 156x^{155}\right)}{dx}\\=&16000*7999x^{7998} + 156*155x^{154}\\=&127984000x^{7998} + 24180x^{154}\\\\ &\color{blue}{The\ third\ derivative\ of\ function:} \\&\frac{d\left( 127984000x^{7998} + 24180x^{154}\right)}{dx}\\=&127984000*7998x^{7997} + 24180*154x^{153}\\=&1023616032000x^{7997} + 3723720x^{153}\\\\ &\color{blue}{The\ 4th\ derivative\ of\ function:} \\&\frac{d\left( 1023616032000x^{7997} + 3723720x^{153}\right)}{dx}\\=&1023616032000*7997x^{7996} + 3723720*153x^{152}\\=&8185857407904000x^{7996} + 569729160x^{152}\\ \end{split}\end{equation} \]Your problem has not been solved here? Please take a look at the hot problems !