hvordan differensieres f(kvadratrodx)?

          (√(x)) ' = 1/(2√(x))

........

           (√(x)) ' = (x^1/2) '   =  (1/2) • x^{(1/2) - 1}  =   (1/2) • x^{(1/2) - (2/2)}  =   (1/2) • x^-(1/2) = (1/2) • (x^1/2)^-1  =

                                                                                                        (1/2) • (√(x))^-1  = 1 / (2•√(x))

........

almen regel

                       (ⁿ√(x)) ' = 1/(n·ⁿ√(x^n-1))

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differensieres → differentieres