If $y=57e^{6x}+39e^{-6x}$ then $\frac{d^2y}{dx^2}$ is equal to : |
342y $6y^2$ $36y$ $234y^2$ |
$36y$ |
The correct answer is Option (3) → $36y$ $y=57e^{6x}+39e^{-6x}$ $\frac{dy}{dx}=57e^{6x}×6+39e^{-6x}×-6$ $⇒\frac{d^2y}{dx^2}=57e^{6x}×36+39e^{-6x}×36$ $=36(57e^{6x}+39e^{-6x})$ $=36y$ |