How do I find where functions are increasing, decreasing or stationary?
To identify the?intervals?on which a function is increasing or decreasing
STEP 1
Find the derivative?f'(x)
Worked Example
Tangents & Normals
What is a tangent?
At any point on a curve (the graph of a (non-linear)?function), the?tangent?is the straight line that passes through that point and has the same?gradient?as the curve at that point
How do I find the equation of a tangent?
What is a normal?
At any point on a curve (the graph of a (non-linear)?function),?the?normal?is the straight line that passes through that point and is?perpendicular?to the?tangent?at that point