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Derivatives of simple functions

{d \over dx} c = 0

{d \over dx} x = 1

{d \over dx} |x| = {x \over |x|},\qquad x \ne 0

{d \over dx} x^c = cx^{c-1}

{d \over dx} \sqrt{x} = {1 \over 2 \sqrt{x}}

{d \over dx} \left({1 \over x}\right) = -{1 \over x^2}

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