Thus for t ≠ ± 1,
Rationalised 2023-24
 MATHEMATICS
144
dy
dy
dt
dx
dx
dt
=
 =
a
t
a
a t
t
t
t t
a
+
−
−


+

⋅
−


1
2
1
2
1
1
1
1
1
log
=
1
1
log
1
t t
a
a
a
a t
t
+
−

+



Example 43 Differentiate sin2 x w r t e cos x