Give an example of 2 continuous functions satisfying and such the composition is differentiable at but neither f nor g is differentiable at .

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- Sep 1st 2009, 11:16 AMDaRush19Continuous but not differentiable
Give an example of 2 continuous functions satisfying and such the composition is differentiable at but neither f nor g is differentiable at .

- Sep 1st 2009, 11:19 AMDaRush19
- Sep 1st 2009, 11:24 AMEnrique2
Define if and . We have

for all . Neither nor is continuous at 0.