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

1 Answer

Feb 12, 2016

#sqrt(3)/(2sqrt(x)#

Explanation:

If #y=sqrt(3x)#

#dy/dx= (d (sqrt(3)*sqrt(x)))/dx#

#color(white)("XXX")=sqrt(3)*(d sqrt(x))/dx#

#color(white)("XXX")=sqrt(3)* (dx^(1/2))/dx#

#color(white)("XXX")=sqrt(3)*1/2x^(-1/2)#

#color(white)("XXX")=sqrt(3)*1/(2sqrt(x))#

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