By considering the functions $\displaystyle x(e^\frac{\delta}{x} - 1)$ and $\displaystyle x(1-e^\frac{-\delta}{x})$ and their derivatives with respect to x for $\displaystyle x \geq 1$ and $\displaystyle \delta > 0$ show that $\displaystyle i^{(p)} > i^{(p+1)}$ and $\displaystyle d^{(p+1)} > d^{(p)}$ when p is an integer greater than zero.