Differentiate w.r.t. t
-8t
Evaluate
15-4t^{2}
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\frac{\mathrm{d}}{\mathrm{d}t}(15-4t^{2})
Add 3 and 12 to get 15.
2\left(-4\right)t^{2-1}
The derivative of a polynomial is the sum of the derivatives of its terms. The derivative of a constant term is 0. The derivative of ax^{n} is nax^{n-1}.
-8t^{2-1}
Multiply 2 times -4.
-8t^{1}
Subtract 1 from 2.
-8t
For any term t, t^{1}=t.
15-4t^{2}
Add 3 and 12 to get 15.
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