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

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

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

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