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if g(x)=x^2/3-x^-3/2, find g'(1)
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you mean this right? g(x)=x^{2/3}-x^{-3/2}
yes
you can take the derivative on each term
\[f(x)=x^n\\f'(x)=nx^{n-1}\]
can you find the derivative of x^{2/3} ?
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no
2/3 is like n
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