engineering recuitment AAI ATC Junior Executive 2025 Mock Test Series Mathematics Differential Calculus Differentiation of Parametric Functions
If x = a(t - sin t) and y = a (1 - cos t) then \(\frac{d^2y}{dx^2}=\)
1
\(\frac{1}{{4a{{\sin }^4}\left( {\frac{t}{2}} \right)}}\)
2
\(\frac{-1}{{4a{{\sin }^4}\left( {\frac{t}{2}} \right)}}\)
3
\(\frac{1}{{4a{{\cos }^4}\left( {\frac{t}{2}} \right)}}\)
4
\(\frac{-1}{{4a{{\cos }^4}\left( {\frac{t}{2}} \right)}}\)