February 26, 2017

Homework Help: Calculus

Posted by Blake on Tuesday, October 12, 2010 at 6:44pm.

How do I solve for lim h->0 (((a+h)^2 + 1)/(3(a+h)+7) - ((a^2 + 1)/3a + 7)) and then all divided by h?

The question was use the limit definition to find the derivative of f(x)= (x^2 + 1)/(3x + 7).

I tried solving what I did above, but had no luck. I used wolfram alpha to get my answer of (3(a^2) + 14a - 3)/((3a + 7)^2). Could someone please show me the steps to arrive at this answer?

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