Question

If y=cos−11+1+x2√21+x2√−−−−−−−√y=cos−11+1+x221+x2 then dydxdydx is equal to

Answer 1

Here, y=x2+2x⇒dydt=2x+2dxdt⇒2x+2=1 ∵dydt=dxdt⇒2x=-1⇒x=-12

Substituting x=-12 in y=x2+2x,

we gety=-34

Hence, the coordinates of the point are -12,-34.