Calculus
Checking a derivative, integral, or limit by hand takes time. These calculators handle the core operations instantly, plus inflection points and the chain and product rules specifically.
Calculators & Tools
Inflection Point Calculator
The Inflection Point Calculator finds the points on a function where the concavity changes from concave up to concave down, or vice versa, by setting the second derivative equal to zero and testing the sign change. It accepts polynomial and other differentiable functions and returns the x-coordinates of the inflection points along with the function values at those points. Use it for calculus coursework, curve sketching, and optimisation problems.
Derivative Calculator
Differentiates polynomial expressions using the power rule. Computes the first and second derivative of any polynomial, and evaluates the derivative at a specified x value to find the instantaneous rate of change.
Limit Calculator
Evaluates limits of polynomial functions and rational polynomial expressions as x approaches a finite value. Handles direct substitution, 0/0 indeterminate forms (numerically), and infinite limits (1/0). Supports both single polynomials and rational expressions.
Integral Calculator
Computes indefinite and definite integrals of polynomial functions using the power rule for integration. For definite integrals, the user enters upper and lower limits and the calculator returns the exact area under the curve.
Chain Rule Calculator
Applies the chain rule to composite functions of the form (ax^m + b)^n. Returns the derivative expression and can evaluate it at a specific x value.
Product Rule Calculator
The Product Rule Calculator differentiates any product of two functions using d/dx[f(x)g(x)] = f'(x)g(x) + f(x)g'(x). Enter both functions to get the full derivative with step-by-step working.