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21 terms

C1 equations

STUDY
PLAY
(x - a)² + (y - b)² = r²
Circle
m1 = m2
Parallel Lines
y - y1 = m(x - x1)
Staight Line
m1 x m2 = -1
Perpendicular Lines
b² - 4ac > 0
2 Real Roots
b² - 4ac = 0
Repeated Root
b² - 4ac < 0
No Real Roots
y = f(x) + a
Translate by a units parallel to y-axis
y = f(x - a)
Translate by a units parallel to x-axis
y = af(x)
Stretch parallel to y-axis by scale factor a
y = f(ax)
Stretch parallel to x-axis by scale factor 1/a
(x2 - x1)² + (y2 - y1)² = AB²
Length of a Line
(y2 - y1) / (x2 - x1)
Gradient of a Line
([x1 + x2] / 2 , [y1 + y2] / 2)
Midpoint of a Line
dy/dx = 0
Stationary Point
d²y/dx² > 0
Local Min
d²y/dx² < 0
Local Max
Perpendicular Gradient
Negative Recipricol of gradient
( -b , c )
Minimum Point of a(x + b)² + c
dy/dx > 0
Increasing Function
dy/dx < 0
Decreasing Function