1. ©G Dear 2010 – Not to be sold/Free to use
Mathematic Extension 1
(Preliminary)
Introduction
to Calculus
Gradient
Stage 6 - Year 11
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©G Dear 2010 – Not to be sold/Free to use

2. Gradient of a Straight Line
The gradient is the slope of the line.
f(x) x
rise
run
m =
Gradient = ∞
+ve
-ve = ∞ =
+ve
+ve
-ve + = + ∞?
Disappear
= -ve
= 0
= +ve
= ∞? + -
End of
Slide

3. The gradient is the slope of the curve.
Gradient of a Curve
The gradient is the slope of the curve.
is +ve or –ve. + -
f(x) x + - - + - + - - + - + - - + - + - + -
+/- -
Slope + -
End of
Slide

4. The gradient is the slope of the curve.
Gradient of a Curve
The gradient is the slope of the curve.
is +ve or –ve.
f(x) x + - + + - - + + - + - + - +
+/- - + + - + - + - + - + + - +
End of
Show