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 4 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ 4th\ derivative\ of\ function\ 0.0395{x}^{4} - 0.6684{x}^{3} + 1.4354{x}^{2} + 10.432x + 59.806\ with\ respect\ to\ x:\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = 0.0395x^{4} - 0.6684x^{3} + 1.4354x^{2} + 10.432x + 59.806\\&\color{blue}{The\ first\ derivative\ function:}\\&\frac{d\left( 0.0395x^{4} - 0.6684x^{3} + 1.4354x^{2} + 10.432x + 59.806\right)}{dx}\\=&0.0395*4x^{3} - 0.6684*3x^{2} + 1.4354*2x + 10.432 + 0\\=&0.158x^{3} - 2.0052x^{2} + 2.8708x + 10.432\\\\ &\color{blue}{The\ second\ derivative\ of\ function:} \\&\frac{d\left( 0.158x^{3} - 2.0052x^{2} + 2.8708x + 10.432\right)}{dx}\\=&0.158*3x^{2} - 2.0052*2x + 2.8708 + 0\\=&0.474x^{2} - 4.0104x + 2.8708\\\\ &\color{blue}{The\ third\ derivative\ of\ function:} \\&\frac{d\left( 0.474x^{2} - 4.0104x + 2.8708\right)}{dx}\\=&0.474*2x - 4.0104 + 0\\=&0.948x - 4.0104\\\\ &\color{blue}{The\ 4th\ derivative\ of\ function:} \\&\frac{d\left( 0.948x - 4.0104\right)}{dx}\\=&0.948 + 0\\=&0.948\\ \end{split}\end{equation} \]





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


Return