Tangent Line to a Curve - Visual Explanation & Mathematical Concept #1237517 (License: Personal Use)

This diagram shows a smooth black sine-like curve with a red straight line tangent to it at the peak-a local maximum. The red dot highlights the exact point of contact where the tangent’s slope equals the derivative of the curve. Such visuals are foundational in calculus for understanding instantaneous rates of change and linear approximations.

Used in educational math content, especially calculus tutorials, Khan Academy-style lessons, or university lecture slides explaining derivatives and tangent lines. Matches user intent for visual learners seeking intuitive grasp of differential calculus concepts.