Q1 of 354 Page 11

Differentiate x2 with respect to x3.

Let u = x2 and v = x3.


We need to differentiate u with respect to v that is find.


On differentiating u with respect to x, we get



We know




Now, on differentiating v with respect to x, we get



(using the same formula)



We have




Thus,


More from this chapter

All 354 →
27

Find , when

If x = 3 sin t – sin 3t, y = 3 cost – cos 3t, find at

28

Find , when

If find

2

Differentiate log(1 + x2) with respect to tan–1x.

 3

Differentiate (log x)x with respect to log x.