Problem 7 Let f ( x ) 3 x , x in R Use the definition of the derivative to prove that f ( x ) 1 3 x 2 3 for x 0 Then show that f is not differentiable at 0 Hint The identity x 3 y 3 ( x y ) ( x 2 xy y 2 ) might be useful

Question

Problem 7   Let f ( x )   3 x , x in R   Use the definition of the derivative to prove that f ( x )   1 3 x 2   3 for x   0   Then show that f is not differentiable at 0   Hint  The identity x 3 y 3   ( x y ) ( x 2   xy   y 2 ) might be useful

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Problem 7 . Let f ( x ) = 3 x , x in R . Use the definition of the derivative to prove that

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1 Understanding Responsive Design Principles

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