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How do you find the derivative of #y =sqrt(3x)#?

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Aug 30, 2014

By General Power Rule (Power Rule and Chain Rule), #y'=3/{2sqrt{3x}}#.

First, rewrite the square-root as the 1/2-power,
#y=(3x)^{1/2}#

By General Power Rule,
#y'=1/2(3x)^{-1/2}cdot 3={3}/{2sqrt{3x}}#

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