Teaching UP TGT Mock Test Series 2025 Mathematics Differential Calculus Differentiation by taking log
Differentiation of \(\rm x^{e^{x}}\) with respect to x is
1
\(\rm x^{e^{x}}\left[\ln x+{1\over x}\right]\)
2
\(\rm x^{e^{x}}e^x\left[\ln x+{1\over x}\right]\)
3
\(\rm e^x\left[\ln x+{1\over x}\right]\)
4
\(\rm x^{e^{x}}\left[\ln x+{e^x\over x}\right]\)