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Where does f′(x)f'(x)f′(x) lie when f(x)f(x)f(x) is increasing?
A
The straight-line gradient is
change in ychange in x \boxed{\frac{\text{change in }y}{\text{change in }x}} change in xchange in y. At a particular point on a curve, its gradient is the gradient of the tangent there.
B
Above the horizontal axis, since f′(x)>0f'(x)>0f′(x)>0.
C
It meets the horizontal axis because f′(x)=0f'(x)=0f′(x)=0.
D
f′(x)f'(x)f′(x) increases.
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1.7.3 Sketching the gradient function Flashcards
20 flashcards on OCR A Level Maths 1.7.3 Sketching the gradient function: the key formulae, methods and definitions you need to recall for Paper 1, Paper 2 and Paper 3.