Derivative of e^(1/x) with Chain Rule | Calculus 1 Exercises

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We differentiate e^1/x using the chain rule. The outside function f(x) is f(x) = e^x, and the inside function g(x) is g(x)=1/x. Then, f(g(x)) = e^(1/x), so we see we've identified the outside and inside functions correctly. Applying the chain rule, we have the derivative of f(g(x)) is f'(g(x))*g'(x) = e(1/x)*(-x^(-2)). #calculus1 #apcalculus

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Thank you for another great video. I'm not sure if this would interest you, but I am not aware of any very good treatments of the Leibniz (Feynman) differentiation under the integral sign. I realize it is a bit outside the scope of the lessons you are offering now, but I believe, given your clear, thorough, and direct style that you would do an excellent job, and simply mentioning Feynman seems to draw a lot of traffic!

MikeMagTech
Автор

Could you please solve the equation, x^x=e

shazullahyusufzai