Q. If $y = a\sin{(5x + c})$, then
A) $\frac{dy}{dx} = 5y$
B) $\frac{dy}{dx} = - 5y$
C) $\frac{d^{2}y}{dx^{2}} = - 25y$
D) $\frac{d^{2}y}{dx^{2}} = 25y$
Explanation
(c)
Given, $y = {asin}{(5x + c)}$
$\Rightarrow$ $\frac{dy}{dx} = 5{acos}{(5x + c)}$
$\Rightarrow$ $\frac{d^{2}y}{dx^{2}} = - 25a\sin{(5x + c)} = - 25y$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.