AQA Level 2 Certificate Further Mathematics · 8365
Specification 4.1, 4.5, 4.6 · Paper 1, Paper 2
A function, written , that gives the gradient of a curve at each value of where the gradient exists. It is also called the derivative.
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Level 2 Certificate Mathematics · key term
A function that gives the gradient of a curve at each value of , written .
Specification 4.1, 4.5, 4.6 · Paper 1, Paper 2
A function, written , that gives the gradient of a curve at each value of where the gradient exists. It is also called the derivative.
To find the gradient at a point, substitute its x-coordinate into the gradient function.
If the gradient function is already given, use it directly: do not differentiate it again.
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This rule is the gradient function, also called the derivative. The original function tells you the height of the curve; the gradient function tells you how steep it is at that position.
The function that gives the gradient of the tangent to a curve at each value of .