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differentiate y = 1/4 (tan^4 x)

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user9102849 | eNotes Newbie

Posted July 1, 2013 at 5:12 AM via web

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differentiate y = 1/4 (tan^4 x)

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jeew-m | College Teacher | (Level 1) Educator Emeritus

Posted July 1, 2013 at 5:18 AM (Answer #1)

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`y = 1/4tan^4x`

`(dy)/dx `

`= (d(1/4tan^4x))/dx`

`= 1/4(d(tan^4x))/dx`

`= 1/4xx4tan^3x(d(tanx))/dx`

`= 1/4xx4tan^3xsec^2x`

`= tan^3xsec^2x`

 

So the answer is `(dy)/dx = tan^3xsec^2x`

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