# 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!)