if x = 2at/1+t3 and y =2at2/(1+t3)2 then dy/ dx = - Maths - Continuity and Differentiability

Question

if x = 2at/1+t3 and y
=2at2/(1+t3)2 then dy/ dx =?

Rishabh Mittal · Accepted Answer

x=2at1+t3On differentiating both sides w r
t   t , we getdxdt=d2at1+t3dt=2a1+t3-2at3t21+t32=2a+2at3-6at31+t32=2a-4at31+t32y=2at21+t32On differentiating both sides w
r
t   t , we getdydt=d2at21+t32dt=4at1+t32-2at221+t33t21+t34=4at1+t32-12at41+t31+t34        =4at1+t3-12at41+t33=4at+4at4-12at41+t33=4at-8at41+t33dydx=dydtdxdt=4at-8at41+t332a-4at31+t32=4at-8at41+t32a-4at3=4at1-2t32a1+t31-2t3=2t1+t3   ANS

if x = 2at/1+t3 and y =2at2/(1+t3)2 then dy/ dx =?

if x = 2at/1+t³ and y =2at²/(1+t³)² then dy/ dx =?