Derivative of x^(1/x) with Logarithmic Differentiation | Calculus 1 Exercises

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We use logarithmic differentiation to take the derivative of x^1/x. We begin by writing y = x^(1/x), then take the natural log of both sides. This will turn our exponentiation into multiplication, then implicit differentiation will get us the rest of the way. #calculus1

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I have my maths a level in a couple weeks and there was a question in a past paper really similar to this (y=x^x) which we were told to differentiate using logs. This video was really helpful, it was great how clearly you explained this, thanks!

areomancer