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 1 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ {x}^{a} + {a}^{x} + {a}^{a}\ with\ respect\ to\ x:\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &\color{blue}{The\ first\ derivative\ function:}\\&\frac{d\left( {x}^{a} + {a}^{x} + {a}^{a}\right)}{dx}\\=&({x}^{a}((0)ln(x) + \frac{(a)(1)}{(x)})) + ({a}^{x}((1)ln(a) + \frac{(x)(0)}{(a)})) + ({a}^{a}((0)ln(a) + \frac{(a)(0)}{(a)}))\\=&\frac{a{x}^{a}}{x} + {a}^{x}ln(a)\\ \end{split}\end{equation} \]





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