How do you find the derivative of f(t)=t^(2/3)-t^(1/3)+4?

1 Answer
Jim G.
Oct 12, 2017

f'(t)=2/(3t^(1/3))-1/(3t^(2/3))

Explanation:

"differentiate each term using the "color(blue)"power rule"

•color(white)(x)d/dx(ax^n)=nax^(n-1)

rArrf'(t)=2/3t^(-1/3)-1/3t^(-2/3)+0

color(white)(rArrf'(t))=2/(3t^(1/3))-1/(3t^(2/3))

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