Pith Derivative

Calculus Level 5

Evaluate

\[\left[ \left.\frac{d^{\pi}}{dx^{\pi}}\right|_{x=\phi}(x^{e}) \right].\]

Details and Assumptions

  • \([x]\) is the nearest integer function.

  • \(\phi=\frac{1+\sqrt{5}}{2}.\)

  • \(e=\displaystyle \lim_{n \rightarrow \infty}{\left ( 1+\frac{1}{n} \right )^n}.\)

  • \(\displaystyle{\pi=2 \int_{0}^{\infty}{\frac{1}{1+x^2}dx}}.\)

×

Problem Loading...

Note Loading...

Set Loading...