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What is derivative of sin(x^2+ln2)?

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home1h | Student, Undergraduate | (Level 2) eNoter

Posted December 15, 2011 at 11:49 PM via web

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What is derivative of sin(x^2+ln2)?

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sciencesolve | Teacher | (Level 3) Educator Emeritus

Posted December 16, 2011 at 12:05 AM (Answer #1)

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You need to use the chain rule to find the derivative of the given function.

`f(x) = sin(x^2+ ln2)`

Differentiating with respect to x yields:

`f'(x) = (sin(x^2+ ln2)'*(x^2 + ln 2)'=gtf'(x) = (cos(x^2+ ln2))`

`(2x+0)` `f'(x) = 2x*cos(x^2+ ln2)`

Differentiating the given function with respect to x yields`f'(x) = 2x*cos(x^2+ ln2)` .

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