Is the derivative of x*abs(x) continuous? f(x)=x*abs(x), f'(0)=? Reddit r/calculus
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YouTubebprp calculus basics
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We will examine the derivative of the function f(x)=x*abs(x) at x=0. We know the derivative of abs(x) is NOT defined at x=0, so shouldn't x*abs(x) have an undefined derivative at 0, too? We will use the definition of the derivative to find out! This question is from Reddit r/calculus https://www.reddit.com/r/calculus/s/RQfjA5bY3Z ...
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