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How do you find the derivative of #2 sqrt x#?

1 Answer

Apr 10, 2018

#1/sqrt{x}#

Explanation:

Don't worry, you don't need the chain rule for this one.

2 is a constant so it can be taken out of the expression.

#d/dx[2sqrt{x}] = 2 d/dx[sqrt{x}] = 2 d/dx[x^{1/2}]#

#2 d/dx[x^{1/2}] = 2 times 1/2x^{-1/2} = x^{-1/2} #

#x^{-1/2} = 1/sqrt{x}#

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