Differentiate w.r.t. a
-\frac{15}{8a^{4}}
Evaluate
\frac{5}{8a^{3}}
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\frac{\mathrm{d}}{\mathrm{d}a}(\frac{5}{8}a^{-3})
Divide 15a^{-3} by 24 to get \frac{5}{8}a^{-3}.
-3\times \frac{5}{8}a^{-3-1}
The derivative of ax^{n} is nax^{n-1}.
-\frac{15}{8}a^{-3-1}
Multiply -3 times \frac{5}{8}.
-\frac{15}{8}a^{-4}
Subtract 1 from -3.
\frac{5}{8}a^{-3}
Divide 15a^{-3} by 24 to get \frac{5}{8}a^{-3}.
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