Finding a tangent line and approximating marginal cost

Finding average and instantaneous rates of change and secant and tangent lines

Finding average and instantaneous rates of change and secant and tangent lines

Finding derivatives and tangent lines of complicated functions

Calculating slopes of tangent lines to parametric curves

Using the limit definition to find derivatives of functions and vector functions

Proving facts about differentials including a product rule

Examples involving the tangent line to an exponential function and finding the derivative of hyperbolic cosine

Derivatives and vectors with some physics applications