CoreDerivatives
Increasing / Decreasing
Overview
The sign of f′ tells us whether the function is rising or falling.
Key Concepts
1
f′(x) > 0 ⇒ f is increasing on that interval
2
f′(x) < 0 ⇒ f is decreasing on that interval
3
f′(x) = 0 ⇒ critical point (possible max or min)
See it in action
Use the interactive visualizer to explore this concept with real graphs.