Question

find derivative of x^x by first principle.

Answer 1

please refer to the following attachment below and hope it helps you

actually I am not sure about the answer as present I am in class 9th and I am not perfect in it

But anyways

All the best for your future..

Answer 2

−1h=y⟺x=limn→∞(1+yn)n⟺x=ey⟺y=log(x)
lim
h
→
0
x
h
−
1
h
=
y
⟺
x
=
lim
n
→
∞
(
1
+
y
n
)
n
⟺
x
=
e
y
⟺
y
=
log
⁡
(
x
)
Then,
limh→0(x+h)x+h−xxh