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

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Antoine · Jim H

Apr 13, 2015

To solve this problem you can use the chain rule.

#f(x)= sqrt(x^3) = (x^3)^(1/2)#

#f'(x) = 1/2(x^3)^(-1/2)3x^2 = (3/2x^2)(x^(-3/2)) = 3/2x^(2-3/2) = 3/2x^(1/2) = (3sqrt(x))/2#

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