Calculus: the derivative of root x
The tutor offers a quick hint about a derivative that can be tricky.
Example: find the derivative of √x
Solution:
-
- Rewrite √x as x^0.5
- Take the derivative using the power rule:
(x^0.5)’ = 0.5x^(-0.5) - You may want to rewrite, perhaps as
1/(2√x)
You can find refreshment about converting between radicals and exponents in my post here.
HTH:)
Source:
Larson, Roland E. and Robert P. Hostetler. Calculus. Toronto:
D.C. Heath and Company, 1989.
Jack of Oracle Tutoring by Jack and Diane, Campbell River, BC.