Question - Determining the Derivative of a Polynomial Function

The derivative of \(y = 2t^4 - 10t^2 + 13t\) with respect to \(t\) is calculated by differentiating each term separately.

The derivative of the first term \(2t^4\) is \(8t^3\).

The derivative of the second term \(-10t^2\) is \(-20t\).

The derivative of the third term \(13t\) is \(13\).

Therefore, the derivative \( \frac{dy}{dt} = 8t^3 - 20t + 13 \).