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How do you differentiate #x^pi#?

1 Answer

Sep 18, 2016

Use the power rule.

Explanation:

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#.)

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