We compute the derivative of f(x)=x^2 using both forms of the definition of the derivative. We then verify that the graph of the derivative “makes sense” based on what we know about the tangent lines.
@0:00 – Review def. of deriv. 2 forms
@5:15 – Deriv. of f(x)=x^2
@10:30 – Does deriv. make sense graphically?
@14:21 – Find eqn. of tangent line