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Proving Derivative Existence – A polynomial and an exponential functions – Exercise 1150

Exercise

Given the function

= \begin{cases} e^x, &\quad x>0 \\ x^2+3, &\quad x \leq 0\\ \end{cases}

Is it differentiable at point x=0?

Final Answer


The function is not differentiable at x=0.

Solution

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