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Differentiate w.r.t. t
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\frac{\mathrm{d}}{\mathrm{d}t}(4t^{3})
To multiply powers of the same base, add their exponents. Add 2 and 1 to get 3.
3\times 4t^{3-1}
The derivative of ax^{n} is nax^{n-1}.
12t^{3-1}
Multiply 3 times 4.
12t^{2}
Subtract 1 from 3.
4t^{3}
To multiply powers of the same base, add their exponents. Add 2 and 1 to get 3.