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find y' and evaluate y' at indicated point  Given ln y = 2x^2 -x ; at (2,1)

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jmg5639 | Student, Undergraduate | (Level 1) Honors

Posted June 21, 2012 at 3:42 AM via web

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find y' and evaluate y' at indicated point 

Given ln y = 2x^2 -x ; at (2,1)

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sciencesolve | Teacher | (Level 3) Educator Emeritus

Posted June 21, 2012 at 6:08 AM (Answer #1)

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You need to evaluate y', hence, you should differentiate the function with respect to x such that:

`(1/y)*y' = 4x - 1`

`y' = (4x - 1)*y`

You need to evaluate y' at the point (2,1) such that:

`y' = (4*2 - 1)*1`

`y' = 7`

Hence, evaluating y' for `ln y = 2x^2 -x` , at the point (2,1), yields `y' = 7` .

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