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How is the average gradient between two points on a curve defined?
A
The expansion for a cubic term (x+h)3(x+h)^3(x+h)3 is x3+3x2h+3xh2+h3\boxed{x^3 + 3x^2h + 3xh^2 + h^3}x3+3x2h+3xh2+h3.
B
It would result in division by zero.
C
The gradient of the chord (or secant) joining those two points.
D
3(x+h)2=3x2+6xh+3h23(x+h)^2 = 3x^2 + 6xh + 3h^23(x+h)2=3x2+6xh+3h2
Card 1 of 20
12.2 Differentiation from first principles Flashcards
20 flashcards on Edexcel A Level Maths 12.2 Differentiation from first principles: the key formulae, methods and definitions you need to recall for Paper 1, Paper 2 and Paper 3.