f-x-x-2-cos-1-x-when-x-1-pi-1-pi-0-and-f-x-0-when-x-0-a-find-the-derivative-of-f-x-on-the-interval-of-1-pi-1-pi-b-compute-minf-x-and-maxf-x-

Question Number 26946 by hoangnampham13 last updated on 31/Dec/17

f (x) = x^{2} c o s (\frac{1}{x}) w h e n x \in [- \frac{1}{π}, \frac{1}{π}] ∖ {0}

a n d f (x) = 0 w h e n x = 0 .

a) f i n d t h e d e r i v a t i v e o f f (x) o n

t h e i n t e r v a l o f [- \frac{1}{π}, \frac{1}{π}] .

b) c o m p u t e m i n f (x) a n d m a x f (x) .