(sin x – cos x) (sin x – cos x), 
3
4
4
x
π
π
<
<
10 xx + xa + ax + aa, for some fixed a > 0 and x > 0
Rationalised 2023-24
CONTINUITY AND DIFFERENTIABILITY
145
11 (
)
2
2 3
3
x
xx
− +x
−
, for x > 3
12 Find dy
dx
, if y = 12 (1 – cos t), x = 10 (t – sin t), 
2
2
t
π
π
−
< <
13