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Differentiate w.r.t. t
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-\frac{3}{4}\times 2t^{-\frac{3}{4}-1}
The derivative of ax^{n} is nax^{n-1}.
-\frac{3}{2}t^{-\frac{3}{4}-1}
Multiply -\frac{3}{4} times 2.
-\frac{3}{2}t^{-\frac{7}{4}}
Subtract 1 from -\frac{3}{4}.