Differentiation is the action of computing a derivative

Calculus Level 1

$\large\dfrac{d^6}{dx^6}(e^{i\pi}+2x^{5})=?$

0 32 5 6 -2 1

1 solution

Lorenzo Calogero
Nov 14, 2017

$\frac{d^6}{dx^6}(e^{i\pi}+2x^5) =$ $= \frac{d^6}{dx^6}(-1+2x^5) =$ $= \frac{d}{dx}(2 \cdot 5 \cdot 4 \cdot 3 \cdot 2) = \boxed{0}$

how did you get $e^{i\pi}=1$ ?

Nazmus sakib - 3 years, 6 months ago

Yes, thanks, I forgot the minus! Euler's identity is $e^{i\pi}+1=0$

Lorenzo Calogero - 3 years, 6 months ago