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We will tackle a famous calculus problem using the definition of the derivative, forcing even the most confident students to dig deep and truly understand the concept. Watch as we derive the derivative of f(x)=x^2*sin(1/x), including the challenging part of handling the derivative at x=0, where the function is not differentiable. But we don't stop there - we also introduce the squeeze theorem, a powerful tool to evaluate limits, to further deepen our understanding of calculus. This video is perfect for anyone looking to enhance their calculus knowledge and master the fundamental concepts of derivatives.
Related video: Calculus Teacher vs Power Rule Students: https://youtu.be/57Eawy5IAaM
0:00 If you are also a calculus teacher
0:39 f(x)=x^2*sin(1/x) when x is not 0 and f(0)=0
7:13 check out Brilliant
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