Hello! Can anybody help me and tell me what the derivative of (6x)^-2 is? Thanks! I'm having a brain fart :(

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- Nov 11th 2012, 03:45 PMcamjensonDerivative help?
Hello! Can anybody help me and tell me what the derivative of (6x)^-2 is? Thanks! I'm having a brain fart :(

- Nov 11th 2012, 03:58 PMPlatoRe: Derivative help?
- Nov 11th 2012, 04:10 PMSorobanRe: Derivative help?
Hello, camjenson!

Quote:

Can anybody tell me what the derivative of $\displaystyle (6x)^{-2}$ is?

If you can't handle the Chain Rule,

. . you can write: .$\displaystyle y \;=\;(6x)^{-2} \;=\;6^{-2}x^{-2} \;=\;\tfrac{1}{36}x^{-2}$

Then: .$\displaystyle y' \;=\;\tfrac{1}{36}\left(\text{-}2x^{-3}\right) \;=\;-\tfrac{1}{18}x^{-3} \;=\;-\frac{1}{18x^3}$