If , prove that:
Given,
y =
We need to prove:
As, y = ….equation 1
Now, differentiating both sides w.r.t x –
∴ )
Using algebra of derivatives –
⇒
Use:
∴
⇒
⇒
Multiplying x both sides –
⇒
⇒
Now, multiplying y both sides –
⇒
⇒ {from equation 1}
Using (a + b)(a – b) = a2 – b2
⇒
⇒