Critical Points Calculator
Find critical points where the derivative equals zero
About this calculator
This Critical Points Calculator helps you find the critical points of any function by determining where the derivative equals zero or is undefined. Critical points are essential for identifying local maxima, minima, and inflection points in calculus problems. This tool is invaluable for students studying optimization, curve sketching, and analyzing function behavior. Simply input your function and instantly discover all critical points with step-by-step solutions.
How to use
Enter your function in the input field using standard mathematical notation (like x^2 + 3x - 5). Click the calculate button to find all critical points. The calculator will show you the derivative, solve where it equals zero, and display all critical points with detailed steps.
Frequently asked questions
What are critical points in calculus?
Critical points are x-values where a function's derivative equals zero or is undefined, indicating potential maximum, minimum, or inflection points.
How do I enter functions with exponents?
Use the caret symbol (^) for exponents. For example, enter x^3 for x cubed or 2x^2 for two x squared.
Can this calculator handle trigonometric functions?
Yes, the calculator supports trigonometric functions like sin(x), cos(x), tan(x), and their combinations with polynomial and exponential functions.