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Let [empty set symbol] denote the standard normal cdf. In other words , P (Z < or equal to y) for every y, where Z~N(0,1). Also let [empty set symbol] denote the standard normal density function. Show that, d/dx [empty set symbol] (- square root of x) = -1/2 x^-1/2 [empty set symbol] (-square root of x).

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