What is the derivative of $(1 - x)^0.5$ ?

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Answer 1 · 2018-07-23T10:51:21

$y=(1-x)^(0.5)=(1-x)^(1/2)=sqrt(1-x)$

$=>(dy)/(dx)=-1/(2sqrt(1-x))$

Let ,

$y=(1-x)^(0.5)$

$:.y=(1-x)^(1/2)$

$=>(dy)/(dx)=1/2(1-x)^(1/2-1)d/(dx)(1-x)$

$=>(dy)/(dx)=1/2(1-x)^(-1/2) (-1)$

$=>(dy)/(dx)=-1/(2(1-x)^(1/2))=-1/(2sqrt(1-x))$

What is the derivative of (1 - x)^0.5(1 - x)^0.5?