What is the derivative of $sqrt(x-3)$ ?

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Answer 1 · 2016-02-07T18:53:30

$1/(2sqrt(x-3))$

The power rule states that $d/dx[u(x)]^n=n[u(x)]^(n-1)*(du)/dx$ .

Thus, application of this rule yields

$d/dx[sqrt(x-3)]=d/dx(x-3)^(1/2)$

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

What is the derivative of sqrt(x-3)sqrt(x-3)?