In this lesson on derivatives, the concept of formal limits is introduced in order to find the slope of the tangent line. The formula for finding the slope is broken down to show that the derivative is the slope of the tangent line, and the formal definition is given. The presenter works through a simple example to demonstrate how the formula can be used to find the slope of a tangent line.
More explanation of derivatives and discussion of formal limits as they pertain to slope.
Questions answered by this video:
What is the formula for a derivative?
What is the formal limit definition of a derivative?
How do you find the derivative of a function using limits?
How do you find the derivative of g(x) = 3x + 1 using the formal definition of a derivative?
What is the slope of the tangent line to 3x + 1?
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This lesson explains the idea of using limits to understand the definition of a derivative. It also shows how to calculate the derivative of a function using the limit definition.