Differentiation of Parametric Functions

JEE Main Mathematics · Methods of Differentiation · 2 questions, latest first

• Let x(t)=2 √2 cos t √(sin 2 t) and y(t)=2 √2 sin t √(sin 2 t), t ∈(0, (π)/2). Then (1+((d y)/(d x))^2)/((d^2 y)/(d x^2)) at…202228 July, Shift 2 · Q68
• If x=2 sin θ- sin 2 θ and y=2 cos θ- cos 2 θ, θ ∈[0,2 π], then (d^2 y)/(d x^2) at θ=π is:20209 January, Shift 2 · Q59