Q. If $2f(x) = f^{'}(x)$ and $f(0) = 3,\$then $f(2)$ is equal to
A) $3e^{4}$
B) $3e^{2}$
C) $e^{4}$
D) None of these
Explanation
(a)
Let $f(x) = 3e^{2x}$
Now, $f^{'}(x) = 6e^{2x} = 2f(x)$
Therefore, our assumption is true.
$\therefore(2) = 3e^{2 \times 2} = 3e^{4}$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.