CIE A Level Maths: Pure 1復習筆記5.1.1 Definition of Gradient
Definition of Gradient
What is the gradient of a curve?
- At a given point the?gradient?of a curve is defined as the gradient of the?tangent?to the curve at that point
- A?tangent?to a curve is a line that just?touches?the curve at one point but doesn't cut the curve at that point
- A tangent?may?cut the curve somewhere else on the curve
- It is only possible to draw?one?tangent to a curve at any given point
- Note that unlike the gradient of a straight line, the gradient of a curve is constantly changing
Exam Tip
- A tangent only exists at points where a curve is smooth.
- For example, there is no tangent (or gradient) at one of the 'corners' in a modulus function.?
Worked Example
轉載自savemyexams
翰林AMC8視頻課重磅上線！
國際競賽真題資源免費領取
