MCQ
$y = {x^{\ln x}}$ નું વિકલન મેળવો.
- A${x^{\ln x}}\ln x$
- B${x^{{\rm{ln}}\,x - 1}}{\rm{ln}}\,x$
- ✓$2{x^{\ln x - 1}}\ln \,x$
- D${x^{\ln x - 2}}$
==> $\frac{1}{y}\frac{{dy}}{{dx}} = \frac{{2\ln x}}{x}$
==> $\frac{{dy}}{{dx}} = y\frac{{2\ln x}}{x} = \frac{{2({x^{\ln x}})\ln x}}{x}$
==> $\frac{{dy}}{{dx}} = 2{x^{\ln x - 1}}\ln x$.
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.