In the three following cases, determine $E$. II.B.1) $f(t) = \lambda^{\prime}(t)$, with $\lambda$ assumed to be of class $C^1$. II.B.2) $f(t) = e^{t\lambda(t)}$. II.B.3) $f(t) = \dfrac{e^{-t\lambda(t)}}{1+t^2}$.
In the three following cases, determine $E$.
II.B.1) $f(t) = \lambda^{\prime}(t)$, with $\lambda$ assumed to be of class $C^1$.
II.B.2) $f(t) = e^{t\lambda(t)}$.
II.B.3) $f(t) = \dfrac{e^{-t\lambda(t)}}{1+t^2}$.