Evaluate the following derivative. $\frac { \mathrm { d } } { \mathrm { d } t } \left( p t ^ { 2 } + j t + r \right)$
A) $2 p t + r$
B) $2 p + j$
C) $2 p t$
D) $2 p t + j$
E) $p t + j$

Question

Evaluate the following derivative.   $\frac { \mathrm { d } } { \mathrm { d } t } \left( p t ^ { 2 } + j t + r \right)$ 
A) $2 p t + r$
B) $2 p + j$
C) $2 p t$
D) $2 p t + j$
E) $p t + j$

Quizplus · Accepted Answer

The derivative of a polynomial function is found by applying the power rule, which states that $\frac{d}{dx}x^n = nx^{n-1}$. Applying this rule to each term in the polynomial $pt^2 + jt + r$, we get $2pt + j$ for the derivative. The constant term $r$ differentiates to 0.

Evaluate the Following Derivative ddt(pt2+jt+r)\frac { \mathrm { d } } { \mathrm { d } t } \left( p t ^ { 2 } + j t + r \right)dtd​(pt2+jt+r)

Evaluate the Following Derivative $\frac { \mathrm { d } } { \mathrm { d } t } \left( p t ^ { 2 } + j t + r \right)$