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 n1 . (b) For every r ∈ Q , ( x r ) ′ = rx r1 . Hint : Write r = m n ....
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 Spring '08
 JUNGE
 Math, Calculus, elementary real analysis

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