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Differentiate w.r.t. t
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\frac{\mathrm{d}}{\mathrm{d}t}(5t^{16384})
Calculate 4 to the power of 7 and get 16384.
16384\times 5t^{16384-1}
The derivative of ax^{n} is nax^{n-1}.
81920t^{16384-1}
Multiply 16384 times 5.
81920t^{16383}
Subtract 1 from 16384.
5t^{16384}
Calculate 4 to the power of 7 and get 16384.