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- 07:03, 24 January 2022 0kelvin talk contribs created page Mistakes regarding derivatives (Created page with "==Regarding the chain rule== * <math>\frac{d}{dx} \sin(x^2) \neq \cos(2x)</math>. This silly mistake is a result of misunderstanding the chain rule. Better say, from trying to memorize it without understanding it. The chain rule says that <math>f(g(x))' = g'(x)f'(g(x))</math> and not <math>f(g(x))' = f'(g'(x))</math>. The correct answer is: <math>2x \cos(x^2)</math> * <math>\frac{\partial}{\partial x} \sin(x + y) \neq \cos(x)</math>. * <math>\frac{\partial}{\partial x...")