Types of Stationary Points
The axis of symmetry of a parabola also indicated the x-value of this feature.
What is a turning point?
Found when x=o
What is the Y-intercept
The instantaneous rate of change of a function with respect to its input
What is the derivative?
A "bend" in a polynomial in the form f(x)=xn for an odd value of n>1.
What is a Point of Inflection
Two functions are sketched and the co-ordinate that is a solution to both is know as this key feature
What is a point of intersection?
This can be used to find gradient of the tangent to the curve for any x-value.
The derivative f'(x)
The largest value of the function in the neighbourhood.
Local Maximum
A straight line that constantly approaches a given curve but does not meet at any finite distance.
What is an asymptote?
At a point (a, f(x)) the value (-f'(a))-1 describes
What is the gradient of the line normal to the curve
The lowest of the low
What is the absolute minimum
For a polynomial
P(x)=a1xn+a2xn-1+a3xn-2+....+an-ax1+anxn-n
If P(a)=0, then (x-a) indicates this feature
What is the x-intercept?
The angle formed by the tangent to the curve and the positive side of the x-axis
What is tan(x)
The smallest and largest local values are gathered. This group is known as.
Local minima and maxima
When sketching particle movement, additional label requirements apply for these features of a co-ordinate plane
What are the axes
for f(x)=g(x)+h(x), this is the expression can be derived using the sum of the derivatives to yield this value
The derivative of the sum f'(x)