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

Answer 1

Luke Alvarez

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

#"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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Answer 2

Emma Aldridge

The derivative of (f(x) = 6x^{2/3}) is:

[f'(x) = 4x^{-1/3}]

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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