1. If x = a cos θ, y = b sin θ, find

.

2. If x = a(t - sin t), y = a(1 - cos t), find

.

3. If

, find

.

4. Differentiate

with respect to x².

5. Differentiate

with respect to

.

6. Differentiate

with respect to

.

7. Find

if

(i)

(ii)

.

8. If y = a cos 5x + b sin 5x, show that

.

9. If y = a cos(log x) + b sin (log x), show that

.

10. If

,
show that

.