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Let f(x) = 7/7x+6 f' (x)= ?

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jjmgingrich | Student, Undergraduate | Salutatorian

Posted January 28, 2013 at 3:12 AM via web

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Let f(x) = 7/7x+6

f' (x)= ?

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embizze | High School Teacher | (Level 1) Educator Emeritus

Posted January 28, 2013 at 3:42 AM (Answer #1)

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Given `f(x)=7/(7x+6)` :

Rewrite as `f(x)=7(7x+6)^(-1)`

Using the power rule and the chain rule we get:

`f'(x)=-7(7x+6)^(-2)(7)=(-49)/((7x+6)^2)`

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