# What is Written 1

Calculus Level 4

Let $$f(x)$$ be a real valued bijective function satisfying $$f'(x) = \sin^2 (\sin (x+1))$$ and $$f(0) = 3$$. Find the value of $$\left( f^{-1}\right)' (3)$$.

Clarifications:

• $$f'(x)$$ denotes the first derivative of $$f(x)$$ with respect to $$x$$.

• $$f^{-1} (x)$$ denotes the inverse function of $$f(x)$$.

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