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If y = a sin (5x + c) , then...

If ` y = a sin (5x + c) ` , then

A

`(dy)/(dx) = 5y`

B

`(dy)/(dx) = - 5y`

C

`(d^(2)y)/(dx^(2)) = - 25 y`

D

`(d^(2) y)/(dx^(2)) = 25 y`

Text Solution

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The correct Answer is:
C
Given , ` y = a sin (5x + c)`
On differentiating both sides w.r.t.x, we get
`(dy)/(dx) = 5a cos (5x + c)`
Again , differentiaing both sides w.r.t.x, we get
`(d^(2)y)/(dx^(2)) = - 25a sin (5x + c) = - 25y `
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MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS-DIFFERENTIATION -MHT CET CORER
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