Use the difference quotient to find the derivative of square root

👉 Learn how to evaluate the limit of a function using the difference quotient formula. The difference quotient is a measure of the average rate of change of the function over an interval, h. The limit of the difference quotient gives the derivative of the function.
The difference quotient formula states that the derivative of a function f(x) is the limit as h goes to zer0 of the quotient of the diference between f(x + h) and f(x) and h.

Organized Videos:
✅The Limit
✅Evaluate Limits of Complex Fractions
✅Evaluate Limits of Polynomials
✅Evaluate Limits of Rational Expressions
✅Evaluate Limits with Square Roots
✅Evaluate Limits with Trig
✅Limits of Piecewise Functions
✅Evaluate Limits with Transcendentals
✅Evaluate Limits Difference Quotient
✅Evaluate Limits from a Graph
✅Evaluate Limits of Absolute Value
✅Evaluate Limits of Square Root
✅Holes and Asymptotes of Rational Functions
✅Learn about Limits
✅Find the Value that makes the Function Continuous
✅Is the Functions Continuous or Not?
✅Evaluate Limits using a Table of Values
✅Evaluate Limits at Infinity

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[chelseacolon]

In the very last line of the answer, I'm not sure why two separate fractions of 1/sqrt(x) were written. Shouldn't it be 1/(sqrt(x) + sqrt(x)), which yes, ends up still equating 1/2(sqrt(x))?

[rodolfobaquiran]

How did you get the final answer which 1 over 2 square root of x??

[FranciscoHernandez-eylo]

i love it when professors assume that we know what they are doing and just write without explaining the process.