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Derivatives of sin x, cos x, tan x, e^x and ln x | Derivatives of common functions | Khan Academy

Lets say I have an equation sin x = 1/2. Then clearly, x = 30 degrees or pi/6 radians. Now if I differentiate both sides of the equation with respect to x (because both are equal, their derivatives should also be equal), I will have cos x = 0, right? But ...

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