Question

Q.22) Ifx=f(t) and y=g(t) are differentiable function of
des
t so that y is a differentiable function ofxif 0 then prove
*
dt
dy
that doc
dy
dt
dx
=
dt
Hence find
if x = at, y=2at.
dx​

Answer 1

Answer:

x and y are differentiable functions of t. Let there be a small increment δt in the value of t. Correspondingly, there should be small increments δx, δy in the values of x and y respectively. Since x and y are differentiable functions of t, t t d dt lim δ t → 0 δ y δ t = d y dt exists and is finite.

Step-by-step explanation: