# Let's do some calculus! (17)

Calculus Level 5

If $$f(x) = x^{x^{x}}$$. Then find the value of $$f^{7}(1)$$.

Notation: $$f^{n}(a)$$ denotes the $$n^{th}$$ derivative of $$f(x)$$ at $$x=a$$.

Inspiration: You Derive Me Crazy by Mr. Pi Han Goh. (Let's set $$n = 7$$ sir!)