Stationary Points & Turning Points (Edexcel A-Level Mathematics): Flashcards

It occurs where $f'(x) = 0$ for a function $f(x)$.

Local maxima are points higher than nearby points; minima are lower.

A point that is a minimum in one direction and maximum in another.

Set $f'(x) = 0$ and solve for $x$.

A stationary point where the function changes direction.

Use the first or second derivative test.

The point is a local minimum.

The point is a local maximum.

No, saddle points are not turning points.

They help in optimization and curve sketching.