6 calculators in this category
- Derivative CalculatorStandard differentiation rules (power, product, quotient, chain)Type a function of one variable and this calculator differentiates it symbolically, simplifies the result, and evaluates the…
- Second Derivative CalculatorSecond derivative test for concavity and local extremaEnter a function and this calculator differentiates it twice, evaluates the second derivative at the point you name, scans the…
- Numerical Derivative Calculator (Finite Difference)Taylor-series finite difference formulasType a function, a point and a step size, and this calculator evaluates the forward, backward, central or five-point…
- Implicit Differentiation CalculatorImplicit function theoremEnter an equation in x and y — one side on the left, one on the right — and this calculator produces dy/dx without ever solving…
- Tangent Line CalculatorPoint-slope form of the tangent line, y = f(a) + f′(a)(x − a)Pick a curve and a point on it, and this calculator returns the tangent line, the normal line perpendicular to it, and the…
- Critical Points, Local Max & Min CalculatorFermat's theorem and the Extreme Value TheoremEnter the coefficients of a polynomial up to degree five and this calculator finds every critical number — each x where f'(x) =…
Which one do you need?
- Derivative Calculator
- Differentiate any function of one variable, read the simplified derivative, follow the rule-by-rule steps, and evaluate the derivative at any point you choose.
- Second Derivative Calculator
- Compute the second derivative symbolically, evaluate it at a point, locate every inflection point in an interval, and read off concave-up and concave-down runs.
- Numerical Derivative Calculator (Finite Difference)
- Approximate f'(x) with forward, backward, central or five-point finite differences. See the step-size sweep, the truncation order and the error against a reference.
- Implicit Differentiation Calculator
- Find dy/dx for any equation in x and y without solving for y. Get both partial derivatives, the slope at your point, the normal slope and any vertical tangent.
- Tangent Line Calculator
- Get the tangent line and normal line to any curve at a chosen point, plus the slope, the linear approximation of f nearby, and the error that approximation makes.
- Critical Points, Local Max & Min Calculator
- Find critical numbers of a polynomial, classify each as a local maximum, minimum or neither, and get the absolute extrema on a closed interval with steps.