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

Question

7345 views around the world

You can reuse this answer
Creative Commons License

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))#