(2)
Also v = xy
Rationalised 2023-24
CONTINUITY AND DIFFERENTIABILITY
133
Taking logarithm on both sides, we have
log v = y log x
Differentiating both sides w r t x, we have
1 dv
v dx
⋅
 =
(log )
log
d
dy
y
x
x
dx
dx
+
=
1
log
dy
y
x
x
dx
⋅
+
⋅
So
dv
dx  =
log
y
dy
v
x
x
dx


+




=
log
y
y
dy
x
x
x
dx


+



