Question

Find `(d^2y)/(dy^2)`, if y = e^4x

Options

• 8 e^4x

• 16 e^4x

• 13 e^4x

• 22 e^4x

Answer 1

16 e^4x

Explanation:

y = e^4x

`dy/dx = e^(4x). d/dx(4x)` = e^4x.4 = 4.e^4x

`(d^2y)/(dy^2) = d/(dy)(4.e^(4x))` = 4.e^4x.4 = 16. e^4x