Find all possible functions with the given derivative.
-$$y ^ { \prime } = 3 t - \frac { 2 } { \sqrt { t } }$$
A) $3 t ^ { 2 } - 4 \sqrt { t } + C$
B) $t ^ { 2 } - 2 \sqrt { t } + C$
C) $3 t ^ { 2 } - \frac { 2 } { \sqrt { t } } + C$
D) $\frac { 3 } { 2 } t ^ { 2 } - 4 \sqrt { t } + C$

Question

Quizplus · Accepted Answer

The antiderivative of $3t$ is $\frac{3}{2}t^2$ and the antiderivative of $-\frac{2}{\sqrt{t}}$ is $-4\sqrt{t}$, so the correct function is $\frac{3}{2}t^2 - 4\sqrt{t} + C$.

Find All Possible Functions with the Given Derivative y′=3t−2ty ^ { \prime } = 3 t - \frac { 2 } { \sqrt { t } }y′=3t−t​2​

Find All Possible Functions with the Given Derivative $y ^ { \prime } = 3 t - \frac { 2 } { \sqrt { t } }$