Using logarithmic differentiation or otherwise, differentiate x^(x^2)?
I calculated this and got the right answer according to Symbolab. My solution was (x^(x^2))(x+2xlnx)(xx2)(x+2xlnx) However, the solution for y=x^(x^2)y=xx2 on the worksheet I've been provided is dy/dx = (x^((x^2)+1))(2lnx+1)dydx=(x(x2)+1)(2lnx+1)
How have they managed to get this?
I calculated this and got the right answer according to Symbolab. My solution was
How have they managed to get this?
1 Answer
check the explanation below
Explanation:
Taking the natural logarithm of both sides
Differentiate
Multiply by
Take