Discuss monotonocity of `y=f(x)` which is griven by `x=1/(1+t^2)a n dy=1/(t(1+t^2))`

A function y=f(x) is given by x=1/(1+t^2) and y=1/(t(1+t^2)) for all tgt0 then f is

Discuss the monotonocity of function f(x)=2log|x-1|-x^2+2x+3.

Find the eccentricity of the hyperbola given by equations x=(e^t+e^(-1))/2a n dy=(e^t-e^(-1))/3,t in Rdot

Find the eccentricity of the hyperbola given by equations x=(e^t+e^(-1))/2a n dy=(e^t-e^(-1))/3,t in Rdot

Find the derivatives of the following : x=(1-t^(2))/(1+t^(2)), y=(2t)/(1+t^(2))

Area enclosed by the curve y=f(x) defined parametrically as x=(1-t^2)/(1+t^2), y=(2t)/(1+t^2) is equal

Find the derivatives of the following : x = (1-t^2)/(1+t^2), y = (2t)/(1+t^2)

Find the equation of tangent and normal to the curve x=(2a t^2)/((1+t^2)),y=(2a t^3)/((1+t^2)) at the point for which t=1/2dot

If x=(1-t^(2))/(1+t^(2)) and y=(2t)/(1+t^(2)) then (dy)/(dx) at t=2 ………….