if x=a{(1+t2)/(1-t2)} and y=2t/(1-t2) find dy/dx - Maths - Continuity and Differentiability

Question

if x=a{(1+t2)/(1-t2)} and
y=2t/(1-t2) find dy/dx

Deepali Gupta · Accepted Answer

x=a1+t21-t2 (using division formula for derivative)dxdt=
a2t(1-t2)-(-2t)(1+t2)1-t22dxdt= 4at1-t22similarlyy=2t1-t2dydt=
2(1-t2)-(-2t)(2t)1-t22=2-2t2+4t21-t22dydt= 2(1 +
t2)1-t22dydx=dydtdxdt = 2(1 + t2)4at

if x=a{(1+t2)/(1-t2)} and y=2t/(1-t2) find dy/dx.

if x=a{(1+t²⁾/(1-t²)} and y=2t/(1-t²) find dy/dx.