There are 1 questions in this calculation: for each question, the 4 derivative of x is calculated.
Note that variables are case sensitive.\[ \begin{equation}\begin{split}[1/1]Find\ the\ 4th\ derivative\ of\ function\ 0.0509{x}^{4} - 1.1365{x}^{3} + 6.5391{x}^{2} - 4.3414x + 75.764\ with\ respect\ to\ x:\\\end{split}\end{equation} \]
\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = 0.0509x^{4} - 1.1365x^{3} + 6.5391x^{2} - 4.3414x + 75.764\\&\color{blue}{The\ first\ derivative\ function:}\\&\frac{d\left( 0.0509x^{4} - 1.1365x^{3} + 6.5391x^{2} - 4.3414x + 75.764\right)}{dx}\\=&0.0509*4x^{3} - 1.1365*3x^{2} + 6.5391*2x - 4.3414 + 0\\=&0.2036x^{3} - 3.4095x^{2} + 13.0782x - 4.3414\\\\ &\color{blue}{The\ second\ derivative\ of\ function:} \\&\frac{d\left( 0.2036x^{3} - 3.4095x^{2} + 13.0782x - 4.3414\right)}{dx}\\=&0.2036*3x^{2} - 3.4095*2x + 13.0782 + 0\\=&0.6108x^{2} - 6.819x + 13.0782\\\\ &\color{blue}{The\ third\ derivative\ of\ function:} \\&\frac{d\left( 0.6108x^{2} - 6.819x + 13.0782\right)}{dx}\\=&0.6108*2x - 6.819 + 0\\=&1.2216x - 6.819\\\\ &\color{blue}{The\ 4th\ derivative\ of\ function:} \\&\frac{d\left( 1.2216x - 6.819\right)}{dx}\\=&1.2216 + 0\\=&1.2216\\ \end{split}\end{equation} \]Your problem has not been solved here? Please take a look at the hot problems !