Sunday 10 November 2013

cos(cos(cos(cos(cos(cos(cos(cos x)))))))

Let f(x) = cos(cos(cos(cos(cos(cos(cos(cos x))))))), and suppose that the number a
satisfies the equation a = cos a. Express f'(a) as a polynomial in a.
at
Labels: , , ,

No comments:

Post a Comment

Subscribe to: Post Comments (Atom)

Define \(f: \mathbb{R} \rightarrow \mathbb{R}\) by \[f(x)= \begin{cases}(1-\cos x) \sin \left(\frac{1}{x}\right), & x \neq 0 \\ 0, &a...