Difference Quotient of a Rational Function
Finding and simplifying the difference quotient for a rational function
Difference Quotient of a Square Root Function
Author: Elena Welch
The following problem is solved in this video. It is recommended that you try to solve the problem before watching the video. You can click "Reveal Answer" to reveal the answer to the problem.
Problem: Find and simplify the difference quotient of the following function:\[
f(x)=\sqrt{x+1}
\]
\(\dfrac{f(x+h)-f(x)}{h}=\dfrac{1}{\sqrt{x+h+1}+\sqrt{x+1}}\)
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