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July 22, 2014

July 22, 2014

Posted by **Carly** on Monday, July 18, 2011 at 4:37pm.

y= 5^x + 15/x^6

I'm assuming I need to take the natural log of each side, but I get stuck after that part.

- Calculus -
**Damon**, Monday, July 18, 2011 at 4:50pmI would split it into two problems and add the result.

y = 5^x

ln y = x ln 5

y'/y = ln 5

y' = y ln 5

y' = 5^x ln 5

then

y = 15 x^-6

y' = 15(-6) x^-7

y' = -90/x^7

so finally

y' = 5^x ln 5 - 90/x^7

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