PYQ Vault
Bank
Guides
Notes
Mocks
Board
Blog
About
Bank
Guides
Notes
Mocks
Board
NDA · Maths · Indefinite Integration
NDA Indefinite Integration — Formulas 2
Question
1
of 13
1.
What is
d
d
x
x
x
\dfrac{d}{dx}\,x^x
d
x
d
x
x
?
A
d
d
x
x
x
=
x
⋅
x
x
−
1
\dfrac{d}{dx}\,x^x = x\cdot x^{x-1}
d
x
d
x
x
=
x
⋅
x
x
−
1
B
d
d
x
x
x
=
x
x
ln
x
\dfrac{d}{dx}\,x^x = x^x\ln x
d
x
d
x
x
=
x
x
ln
x
C
d
d
x
x
x
=
x
x
(
1
−
ln
x
)
\dfrac{d}{dx}\,x^x = x^x(1-\ln x)
d
x
d
x
x
=
x
x
(
1
−
ln
x
)
D
d
d
x
x
x
=
x
x
(
1
+
ln
x
)
\dfrac{d}{dx}\,x^x = x^x(1+\ln x)
d
x
d
x
x
=
x
x
(
1
+
ln
x
)
Back
Skip