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Differentiate w.r.t. t
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\frac{\mathrm{d}}{\mathrm{d}t}(-24t)
Multiply 8 and -3 to get -24.
-24t^{1-1}
The derivative of ax^{n} is nax^{n-1}.
-24t^{0}
Subtract 1 from 1.
-24
For any term t except 0, t^{0}=1.
-24t
Multiply 8 and -3 to get -24.