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How to differentiate a function ( x^sinx)

Anyone who knows how to use logarithmic differentiation, please help!
asked Jul 10, 2017 in Algebra by Krish

1 Answer

Hey! Have you tried to solve it this way?

y =xsin(x) 

y = exp(log(xsin(x)))= esinx*log(x),

dy/dx = [sin(x)/x + ln(x)cos(x)]esin(x)log(x) = [sin(x)/x + ln(x)cos(x)]xsin(x)  .

answered Jul 10, 2017 by Kailey