Question

x².sin.log.x (find derivative)​

Answer 1

ANSWER:

$dx\frac{d}{dx} (x^{2} .sin(logx))= x^{2} \frac{d}{dx} (sin(logx)+sin(logx)\frac{d}{dx}(x^{2} )\\=x^{2} .cos(logx) \frac{d}{dx} (logx)+sin(logx)(2x)\\=x^{2} .cos(logx)(\frac{1}{x} )+2xsin(logx)\\=xcos(logx)+2xsin(logx)\\=x(cos(logx)+sin(logx))$