What is the following derivative of f(x)=6x^2/3?

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1 Answer
Jim G.
Mar 6, 2018

#f'(x)=4/x^(1/3)toD#

Explanation:

#"differentiate using the "color(blue)"power rule"#

#•color(white)(x)d/dx(ax^n)=nax^(n-1)#

#f(x)=6x^(2/3)#

#rArrf'(x)=2/3xx6x^((2/3-1))#

#color(white)(rArrf'(x))=4x^(-1/3)=4/x^(1/3)toD#

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