**Unformatted text preview: **g ∶ J → R . Explain why g must be diﬀerentiable at every y ∈ J and ﬁnd g ′ ( f ( x )) for all x ∈ I . 3. Prove the following, indicating every theorem used in your proof. (a) For every n ∈ N , ( x 1 n ) ′ = 1 n x 1 n-1 . (b) For every r ∈ Q , ( x r ) ′ = rx r-1 . Hint : Write r = m n ....

View
Full Document