What is the derivative of #sqrt(5x)#?

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Answer 1 · 2016-07-12T18:49:20

#=5/(2sqrt(5x))#

or

#sqrt5/(2sqrt(x))#

#sqrt(5x)=(5x)^(1/2)#

#d/dx(ax)^n=n*(ax)^(n-1)*a#

derivative of #(5x)^(1/2)=1/2*(5x)^(1/2-1)*5#

#=5/2*(5x)^(-1/2)*#

#=5/2*1/sqrt(5x)#

#=5/(2sqrt(5x))#

or

#sqrt5/(2sqrt(x))#