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Evaluate
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Differentiate w.r.t. a
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\frac{3a\times 4}{2\times 1a^{2}}
Multiply \frac{3a}{2} times \frac{4}{1a^{2}} by multiplying numerator times numerator and denominator times denominator.
\frac{2\times 3}{a}
Cancel out 2a in both numerator and denominator.
\frac{6}{a}
Multiply 2 and 3 to get 6.
\frac{\mathrm{d}}{\mathrm{d}a}(\frac{3a\times 4}{2\times 1a^{2}})
Multiply \frac{3a}{2} times \frac{4}{1a^{2}} by multiplying numerator times numerator and denominator times denominator.
\frac{\mathrm{d}}{\mathrm{d}a}(\frac{2\times 3}{a})
Cancel out 2a in both numerator and denominator.
\frac{\mathrm{d}}{\mathrm{d}a}(\frac{6}{a})
Multiply 2 and 3 to get 6.
-6a^{-1-1}
The derivative of ax^{n} is nax^{n-1}.
-6a^{-2}
Subtract 1 from -1.