If $y = 500e^{7x}+600e^{-7x}, $ then $\frac{d^2y}{dx^2}$ is equal to :
Answer & explanation
Correct answer: option 2
The correct answer is Option (2) → 49 y
$y=500e^{7x}+600e^{-7x}$
$y'=7(500e^{7x}-600e^{-7x})$
$y''=7^2(500e^{7x}+600e^{-7x})$
$y''=49y$