Michael J. answered • 10/08/15

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Effective High School STEM Tutor & CUNY Math Peer Leader

Difference quotient is defined as

lim f(x + h) - f(x)

h-->0 ______________

h

lim

**[**1 / (x + h)^{2}**]**-**[**1 / x^{2}**]**h-->0 _____________________

h

Now simplify the difference quotient. Also, due to the fact that zero cannot be in the denominator, you will need to do some factoring and cancelling so the

**h**in the denominator goes away.