
After completing this section, students should be able to do the following.

• Use limits to find the slope of the tangent line at a point.
• Understand the definition of the derivative at a point.
• Compute the derivative of a function at a point.
• Estimate the slope of the tangent line graphically.
• Write the equation of the tangent line to a graph of a function at a given point.
• Recognize and distinguish between secant and tangent lines.
• Recognize the the tangent line as a local approximation for a differentiable function near a point.