CIE A Level Maths: Pure 1复习笔记5.2.1 Gradients, Tangents & Normals
Gradients, Tangents & Normals
Using the derivative to find the gradient of a curve
- To find the gradient of a curve y= f(x) at any point on the curve, substitute the x‑coordinate of the point into the derivative f'(x)
Using the derivative to find a tangent
- At any point on a curve, the tangent is the line that goes through the point and has the same gradient as the curve at that point
Using the derivative to find a normal
- At any point on a curve, the normal is the line that goes through the point and is perpendicular to the tangent at that point
Exam Tip
- The formulae above are not in the Edexcel exam formulae booklet, but if you understand what tangents and normals are, then the formulae follow from the equation of a straight line combined with parallel and perpendicular gradients (see Worked Example below).
Worked Example
转载自savemyexams
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