15 A level Mathematics Calculus Gradient of a Curve Video 1

Welcome to the first video in the Calculus A-level Mathematics series, where we begin by defining the gradient of a curve. We'll start by recalling the gradient of a straight line, a fundamental concept from GCSE. Then, we'll delve into defining the gradient of a curve at a specific point using the concept of tangents. A tangent is a straight line that touches a curve at exactly one point. To find the gradient of a curve at a given point, we determine the gradient of the tangent line at that precise location. This video will guide you through the process of understanding and calculating these gradients, laying the groundwork for more advanced calculus topics.