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Differentiate w.r.t. d
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\frac{\mathrm{d}}{\mathrm{d}d}(-4.5d^{-3})
Combine 1.6d^{-3} and -6.1d^{-3} to get -4.5d^{-3}.
-3\left(-4.5\right)d^{-3-1}
The derivative of ax^{n} is nax^{n-1}.
13.5d^{-3-1}
Multiply -3 times -4.5.
13.5d^{-4}
Subtract 1 from -3.
-4.5d^{-3}
Combine 1.6d^{-3} and -6.1d^{-3} to get -4.5d^{-3}.