Find the derivative.
-$$s = 2 t ^ { 2 } + 5 t - 8$$
A) $4 t + 5$
B) $4 t ^ { 2 } + 5$
C) $2 t ^ { 2 } + 5$
D) $2 t + 5$

Question

Quizplus · Accepted Answer

The derivative of a polynomial function is found by applying the power rule, which states that $\frac{d}{dt}[t^n] = n \cdot t^{n-1}$. Applying this rule to each term in the given function $s = 2t^2 + 5t - 8$, we get the derivative as $s' = 4t + 5$, since the derivative of a constant term (-8) is 0.

Find the Derivative s=2t2+5t−8s = 2 t ^ { 2 } + 5 t - 8s=2t2+5t−8

Find the Derivative $s = 2 t ^ { 2 } + 5 t - 8$