Mathematics
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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.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ 4th\ derivative\ of\ function\ x*2 + 64{x}^{45}\ with\ respect\ to\ x:\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = 2x + 64x^{45}\\&\color{blue}{The\ first\ derivative\ function:}\\&\frac{d\left( 2x + 64x^{45}\right)}{dx}\\=&2 + 64*45x^{44}\\=&2880x^{44} + 2\\\\ &\color{blue}{The\ second\ derivative\ of\ function:} \\&\frac{d\left( 2880x^{44} + 2\right)}{dx}\\=&2880*44x^{43} + 0\\=&126720x^{43}\\\\ &\color{blue}{The\ third\ derivative\ of\ function:} \\&\frac{d\left( 126720x^{43}\right)}{dx}\\=&126720*43x^{42}\\=&5448960x^{42}\\\\ &\color{blue}{The\ 4th\ derivative\ of\ function:} \\&\frac{d\left( 5448960x^{42}\right)}{dx}\\=&5448960*42x^{41}\\=&228856320x^{41}\\ \end{split}\end{equation} \]





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