# Limit Definition of Derivative Square Root, Fractions, 1/sqrt(x), Examples – Calculus

This calculus video tutorial shows you how to use limit process / definition of the derivative formula to find the derivative of a function that contains square roots and fractions. This video contains plenty of examples and practice problems.

Here is a list of topics:
1. Derivative of constants and monomials – power rule review
2. Constant Multiple Rule – Derivatives
3. How to find the derivative of the function using the limit process / difference quotient
4. f'(x) and f'(a) limit derivative formula
5. Derivative of x^2, x^3, 1/x, sqrt(x) and 1/sqrt(x), x^4
6. Factoring Techniques – Difference of Squares and Cubes Method
7. Derivatives of Polynomial, Rational, and Radical Functions
8. Multiplying Fractions By Common Denominators and Radicals By the Conjugate
9. Finding the function using the limit difference quotient
10. Alternative definition of derivative