Differentiation — Rates of Change
Point(-2.0, 7.00)
Gradient at point-6.00
Tangent liney = -6.00x + -5.00
Stationary point x1.00
- Slide the point to where the curve is rising — a positive gradient
- Slide the point to where the curve is falling — a negative gradient
- Find the stationary point — where the tangent goes exactly flat (gradient = 0)
- Confirm the stationary point sits exactly on the axis of symmetry, x = −b/2a
- On the curve y = x² − 2x − 1, move the point to x = 3 and confirm the gradient reads exactly 4