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Derivatives and Integrals An Annotated Discourse

Instructions.

Use the sliders to set the parameters of the quadratic \(f(x)=ax^2+bx+c\text{.}\) Drag the point \(A\) on the graph and the point \(P\) to define a line. Try to make the line tangent at the point at \(A\) and observe the resulting slope of the tangent line.