How do you differentiate $x^pi$ ?

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Answer 1 · 2016-09-18T20:21:14

Don't let $pi$ confuse or intimidate you. It's just some number that we can't express in digits. It's a little bigger than $3$ .

$d/dx(x^n) = nx^(n-1)$ for all real $n$ . Including for $n = pi$ .

So,

$d/dx(x^pi) = pi x^(pi-1)$

(About $3.14 * x^2.14$ .)

How do you differentiate x^pix^pi?