Derivative of 1 divided by square root of x


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Derivative of 1/rootx?​

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Answer:

Step-by-step explanation:

1 / sqrt(x) = 1 / x^(1 /2) = x^(- 1 / 2)

d / dx (1 / sqrt(x)) = d / dx (x^(- 1 / 2))

= - 1 / 2 x^ (- 3 / 2)

= - 1 /(2xsqrt(x)).


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