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函数计算器

Basic function calculation and graphing; supports 分析 and extrema

Function Settings

Supported: +, -, *, /, ^, sin, cos, tan, log, sqrt, abs, pi, e

Function 示例
Function Graph

Enter function expression and set domain to 开始 分析

Function 分析 Knowledge

Critical Points

Critical points are where the derivative is zero or undefined, including local maxima, minima, and inflection points. These points are crucial for understanding function behavior.

Monotonicity

A function is increasing where the derivative is positive and decreasing where the derivative is negative.

Concavity

A function is concave up where the second derivative is positive and concave down where it is negative.

Numerical Differentiation

This 计算器 uses numerical differentiation to approximate derivatives; useful for complex functions that can't be differentiated analytically.