Mathematic 1 revision Flashcards
(2 cards)
0
Q
Functions
A
No solutions
- b2-4ac<0
Stationary point
- dy/dx=0, inverse doesn’t exist
If dy/dx</>0, no turning point, inverse exist.
For inverse of quadratic
- if the function is to the left of stationary point, sign of square root is -ve
Otherwise, opposite.
*g’(x) & g-‘(x)
Dy/dx & inverse
Range of sin, cos
-deduce based on graph
1
Q
Quadratic
A
b2-4ac=0
- Tangent to curve
- Equal roots
decreasing function
- dy/dx<0
-negative gradient
Otherwise, opposite
Curve lies above x-axis
Find min point, coordinates> 0
Or dy/dx=0, coordinates>0
Form equation from given roots
x2-sorx+por