5:29 Understanding Differentiation Part 1: The Slope of a Tangent Line
Dr Frost walks through estimating a curve's gradient by drawing a tangent and using rise over run.
Estimate the gradient of a tangent at a point
Calculate the gradient of a tangent at a point
6 hand-picked video lessons for this topic, each checked for relevance and clarity, graded by difficulty and labelled by depth. Press play to watch — nothing loads from YouTube until you do.
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6 shown 5:29 
5:42 Finding the gradient of a curve by drawing a tangent
Clear demonstration of drawing a tangent to a curve and calculating its gradient.
9:59 Differentiation (Gradients, Tangents and Normals)
Finds the gradient at a point on a curve by drawing a tangent, with full worked steps.
1:31 Tangents to a Curve - GCSE Physics
Same tangent-gradient method taught for physics graphs: draw the tangent, then work out rise over run.
4:23 Equation of Tangent Calculus Grade 12
A worked example: draw the tangent at a given x and calculate the gradient.
5:30 Drawing a tangent to find instantaneous rate of reaction
Step-by-step drawing of a tangent to a curve to read off an instantaneous rate.