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Differentiate w.r.t. f
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-\frac{16}{9}f^{1-1}
The derivative of ax^{n} is nax^{n-1}.
-\frac{16}{9}f^{0}
Subtract 1 from 1.
-\frac{16}{9}
For any term t except 0, t^{0}=1.
f\left(-\frac{16}{9}\right)
Fraction \frac{-16}{9} can be rewritten as -\frac{16}{9} by extracting the negative sign.