Target Exam

CUET

Subject

-- Mathematics - Section A

Chapter

Continuity and Differentiability

Question:

If $y = 500e^7x+600e^{-7}x, $ then $\frac{d^2y}{dx^2}$ is equal to :

Options:

 7y

49 y

14 y

29 y

Correct Answer:

49 y

Explanation:

The correct answer is Option (2) → 49 y

$y=500e^{7x}+600e^{-7x}$

$y'=7(500e^{7x}-600e^{-7x})$

$y''=7^2(500e^{7x}+600e^{-7x})$

$y''=49y$