I need help finding the derivative of the following equation. This may look a little messy because it involves a square root and a fraction.(adsbygoogle = window.adsbygoogle || []).push({});

y = square root of: 1 + x^{2}/ 3 + 3 - x / 5

My first thought is to change the equation to look like this:

y = (1 + x^{2})^{1/2}/ 3 + 3 - x / 5

but I am not sure what the proper protocol is for finding a derivative of this kind of equation.

An example is given of a similar question:

y = square root of: 1 + x^{2}/ 3 + 0.5 - x / 5

where the derivative is:

dy/dt = 1/6 (1 + x^{2})^{- 1/2}(2x) - 1/5

but I can't figure out where the 1/6 comes from, or the final term, 1/5.

Help please?

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# Derivative of a square root fraction.

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