Describing Concavity Using a Graph of F X

Concavity Calculator

Concavity Calculator

Welcome to the Concavity Calculator. This tool helps you determine the concavity of a function within a specified interval. Enter your function, start and end points, and step size to calculate the concavity.

Enter a function:

How to Use the Calculator

To use this calculator, follow these steps:

  1. Enter the function you want to analyze in the “Concavity f(x)” field.
  2. Specify the start and end points of the interval in the respective fields.
  3. Enter the step size for the calculation.
  4. Click “Calculate” to see the results.

Understanding Concavity

Concavity refers to the direction in which a function curves. A function is concave up if its second derivative is positive, and concave down if its second derivative is negative. An inflection point occurs where the concavity changes from up to down or vice versa.

Example Functions

Here are some example functions you can try:

  • x^3 - 3*x^2 + 2
  • sin(x)
  • exp(x) - x^2

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