# if y=x^x find  δy/δx - Mathematics

Sum

if y=x^x find (dy)/(dx)

#### Solution

y=x^x

Taking logarithms of both sides

logy=logx^x

logy=xlogx

Differentiating both sides with respect to 'x', we get

(1/y) dy/dx=x(1/x)+logx(1)

dy/dx=y(1+logx)

dy/dx=x^x(1+logx)

Concept: Derivative - Exponential and Log
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