This worksheet asks students to use the limit definition of the derivative (although the notion of the derivative is not mentioned yet) to find several slopes. In one part, students first graph a function and estimate the slope of the tangent line at a point before calculating it. In another part, students are given a function, asked to find the equation of a secant line, and then asked to find the equation of a tangent line.
This is appropriate for AP Calculus AB and BC.
A detailed answer key is provided.