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Introduction to derivatives
Discover what magic we can derive when we take a derivative, which is the slope of the tangent line at any point on a curve.
Understanding that the derivative is just the slope of a curve at a point (or the slope of the tangent line)
The slope of a tangent line can be expressed as the limit of certain secant lines.
Test your understanding of a tangent line as the limit of secant slopes.
The derivative can be thought of the slope of a tangent line, which is defined as the limit of the slopes of certain secant lines. See what this looks like in action.
Here we find a formula for the derivative of f(x)=x^2.
How tangent lines are a limit of secant lines, and where the derivative and rate of change fit into all this.
Compare different (equivalent) definitions for the derivative.
Enough abstract stuff already, let's see what the formal and alternative forms of the derivative look like in practice.
A practice problem applying the different forms of the derivative.
Test your understanding of each definition of the derivative