Trying to evaluate this derivative using the limit definition, but I'm not seeing how to proceed.

[round shoal]

The solution is f'(x) = 12x + 6/(x^2). If someone could help out that would be great. From the 3rd to 4th expression I decided to distribute the -1 and cancel the 6x^2 term. From the 4th to 5th expression I decided to multiply by 1/h in an attempt to simplify.

[fallen lion]

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[rain kayak]

Why did 4/x become 6/x?

Oh, wait, that's also a 6, I guess.

[rain kayak]

Well, now bring -6/(h(x + h)) and 6/(xh) to a common denominator, then you'll be able to find the limit as h -> 0.

[round shoal]

yes, thank you.

+close