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Differentiate w.r.t. x
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\frac{16}{\frac{1}{5}xx^{\frac{5}{8}}+0.2x^{\frac{5}{8}}}
Use the distributive property to multiply \frac{1}{5}x+0.2 by x^{\frac{5}{8}}.
\frac{16}{\frac{1}{5}x^{\frac{13}{8}}+0.2x^{\frac{5}{8}}}
To multiply powers of the same base, add their exponents. Add 1 and \frac{5}{8} to get \frac{13}{8}.