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You provided the function:

\[
f(x) = 7x^{-\frac{7}{3}} + 9x^{\frac{13}{6}} + 9x^{\frac{9}{2}} + 3x^{\frac{10}{3}}
\]

Would you like me to compute the derivative \( f'(x) \), or would you like to perform another operation?

Given the function f(x) = 7x^(-7/3) + 9x^(13/6) + 9x^(9/2) + 3x^(10/3), perform a mathematical operation like differentiation or integration.

Find the derivative of the function f(x) = 7x^(-7/3) + 9x^(13/6) + 9x^(9/2) + 3x^(10/3) using the power rule. This problem involves concepts from calculus, including exponent manipulation and differentiation.

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