Applications of Differentiation (Edexcel A-Level Mathematics): Flashcards

It's $f''(x) = \frac{d^2y}{dx^2}$, the derivative of the first derivative.

The function is concave up on that interval.

The function is concave down on that interval.

Where the second derivative changes sign, altering concavity.

First, find $f'(x)$, then differentiate it to get $f''(x)$.

The point is a local minimum.

The point is a local maximum.

It gives acceleration from the position function's derivative.

It helps analyze the curvature of cost and utility functions.

The gradient $\frac{dy}{dx}$ is increasing.