Pure Flashcards
1
Q
steps to find nature of stationary points
A
- find the derivative
- make it equal to zero
- solve to get stationary points
- find derivative of derivative
- sub in stationary points into second derivative
- positive = minimum point, negative = maximum point
2
Q
vertical asymptote is found by
A
makind the denominator equal to 0
3
Q
horizontal asymptote is found by
A
making the x value really large
4
Q
When finding antiderivative, remember:
A
to add c (where c is any constant)
5
Q
how to sketch a v-t graph given a d-t graph
A
velocity is the derivative of displacement
6
Q
how to use calculus to find the turning point of a quadratic:
A
- find derivative of quadratic
- solve for x
- sub x into quadratic equation to find y
7
Q
equation for sum to Infinity In a convergent series.
A
S∞ = a / (1 - r)
8
Q
Fully describe the transformation that maps the curve with equation y = x² - 3 onto the curve with equation y = 2x² - 6
[3 marks]
A
Stretch;
Parallel to y-axis;
Scale factor 2;
9
Q
b3 points through a circle
PQ is the diameter of the circle, since
A
angle subtended at circumference is 90°
