Engineering Board Exam Reviewer · Logarithmic Differentiation · medium

Find y' if y=x x.

1. x x - 1 x
2. x x x x
3. x x ≤ft( x x + xx )
4. x x ≤ft( x x - xx )

Answer

C. x x ≤ft( x x + xx )

Solution

y= x x. Differentiate: y'/y= x x+ x/x, so y'=x x≤ft( x x+ x/x ).

More Logarithmic Differentiation questions

1. Find y' if y=xx.
2. If y=xx2, find dy/dx at x=2.
3. Find y' if y=(x+1)2(x-3)3/x+2.

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