Is this function differentiable at x=0? Derivative of f(x)=x^2*sin(1/x)? Reddit r/calculus
Here's a very classic calculus problem. If f(x)=x^2*sin(1/x) when x≠0 and f(x)=0 when x=0, then is f differentiable at x=0? i.e. f'(0)=? We cannot take the derivative of this function by using the product and the chain rule. The way is to use the definition of the derivative! ----------------------------- Support this channel and get my calculus notes on Patreon: 👉 / blackpenredpen Get the coolest math shirts from my Amazon store 👉 https://amzn.to/3qBeuw6 ----------------------------- This quesiton is from reddit r/calculus: / crkpfs3mt0 ----------------------------- #calculus #mathtutorial
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