Second derivatives
Graph the second derivative of a function

Graph the second derivative of a function

Suppose you want to graph the second derivative of the following function:

\[ f(x) = x^2 + 3x + 1 \]

  1. Create a new document and select Add Graphs.
  2. Write f1(x) as the function you want to study.
  3. Write f2(x) = \frac{d^2 f1(x)}{dx^2}. To do this: press System Icon and select 2derivative Icon.

    Second Derivative Screenshot

The function f2(x) is the graph of \( f''(x) \). You can determine when \( f''(x) < 0 \) or \( f''(x) > 0 \) by looking at its graph.
Warning Icon

Tip: Deactivate the graphs you don’t want for better readability by checking or unchecking the box beside the function definition System Icon .