Derivative of an exponential function

2. Derivative of an Exponential Function.
Example-10:
(i)
x
ey =
Solution:
x
e
dx
dy
=
(ii)
x
ey 3
=
Solution:
( )3 3
3x xdy d
e e
dx dx
= =
(iii) ( )24
+= xey x
Solution:
( ) ( ) xx
e
dx
d
xx
dx
d
e
dx
dy 44
22 +++=
( ) ( ) ( )x
dx
d
exe xx
421 44
++=
( ) ( )42 44 xx
exe ++=
( ) 4214
++= xe x
( )8414
++= xe x
( )944
+= xe x