Question

differentiate x log x

Answer 1

Write x x as a fraction with denominator 1 1 . Multiply x1 x 1 and 1xln(10) 1 x ln ( 10 ) to get xxln(10) x xln ( 10 ) . Differentiate using the Power Rule which states that ddx[xn] d d x [ xn ] is nxn−1 n x n - 1 where n=1 n = 1 . Multiply log(x) log ( x ) by 1 1 to getlog(x) log ( x ) .