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Find d2ydy2, if y = e4x - Mathematics and Statistics

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Question

Find `(d^2y)/(dy^2)`, if y = e4x

Options

  • 8 e4x

  • 16 e4x

  • 13 e4x

  • 22 e4x

MCQ

Solution

16 e4x

Explanation:

y = e4x

`dy/dx = e^(4x). d/dx(4x)` = e4x.4 = 4.e4x

`(d^2y)/(dy^2) = d/(dy)(4.e^(4x))` = 4.e4x.4 = 16. e4x

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