Finding the Derivative of a Square Root Function Using Definition of a Derivative

Published: 11 December 2011
on channel: Patrick J
266,936
1.8k

In this video we compute the derivative of a square root function, namely f(x) = sqrt (2x + 1) by using the definition of a derivative. We could use the power rule along with the chain rule as well of course, but this what one is often asked in the beginning of a calculus course.
Note that to help simplify the expression for the derivative, we will make use of the conjugate, a common technique to help simplify these types of expressions with square roots.




















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