Mathematics category

Calculus calculators

Rates of change, accumulation, limits and numerical approximation.

377 calculators in this category. Page 1 of 8.

derivativesintegralsnumerical methods
Calculus

Power-rule derivative

Differentiate a monomial axⁿ and evaluate its derivative at a selected x-value.

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Calculus

Power-rule integral

Integrate a monomial axⁿ and evaluate its antiderivative at a selected x-value.

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Calculus

Definite power integral

Evaluate the definite integral of axⁿ between lower and upper bounds.

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Calculus

Quadratic derivative

Differentiate ax²+bx+c and evaluate its slope.

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Calculus

Exponential derivative

Differentiate Ae^(kx) at a selected x.

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Calculus

Logarithm derivative

Evaluate the derivative of A ln(x) at positive x.

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Calculus

Trigonometric derivative

Differentiate A sin(kx+φ) and evaluate both the function and derivative at x.

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Calculus

Chain rule

Combine an outer derivative and inner derivative to evaluate a composite function's derivative at a point.

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Calculus

Product rule

Evaluate the derivative of a product from f, g and their derivatives at the same point.

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Calculus

Quotient rule

Evaluate the derivative of f/g from both function values and derivatives at the same point.

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Calculus

Quadratic tangent line

Find slope and intercept of a tangent to ax²+bx+c.

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Calculus

Quadratic average rate

Calculate secant slope of a quadratic over an interval.

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Calculus

Definite linear integral

Integrate mx+b over a finite interval.

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Calculus

Definite quadratic integral

Integrate ax²+bx+c over a finite interval.

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Calculus

Trapezoidal rule

Approximate an integral from two endpoint function values.

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Calculus

Newton square-root step

Perform one Newton iteration toward the square root of a positive number.

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Calculus

Simpson's rule

Approximate an integral from endpoint and midpoint function values.

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Calculus

Monomial Derivative Coefficient

Calculate derivative coefficient from original coefficient a and power n.

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Calculus

Monomial Derivative Coefficient: solve original coefficient a

Rearrange the monomial derivative coefficient relationship and solve for original coefficient a.

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Calculus

Monomial Derivative Coefficient: solve power n

Rearrange the monomial derivative coefficient relationship and solve for power n.

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Calculus

Monomial Antiderivative Coefficient

Calculate antiderivative coefficient from original coefficient a and power n.

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Calculus

Monomial Antiderivative Coefficient: solve original coefficient a

Rearrange the monomial antiderivative coefficient relationship and solve for original coefficient a.

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Calculus

Monomial Antiderivative Coefficient: solve power n

Rearrange the monomial antiderivative coefficient relationship and solve for power n.

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Calculus

Exponential Derivative at Zero

Calculate derivative at x=0 from function coefficient a and exponential base b.

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Calculus

Exponential Derivative at Zero: solve function coefficient a

Rearrange the exponential derivative at zero relationship and solve for function coefficient a.

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Calculus

Exponential Derivative at Zero: solve exponential base b

Rearrange the exponential derivative at zero relationship and solve for exponential base b.

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Calculus

Sinusoid Second-Derivative Amplitude

Calculate second-derivative amplitude magnitude from original amplitude and angular frequency.

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Calculus

Sinusoid Second-Derivative Amplitude: solve original amplitude

Rearrange the sinusoid second-derivative amplitude relationship and solve for original amplitude.

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Calculus

Sinusoid Second-Derivative Amplitude: solve angular frequency

Rearrange the sinusoid second-derivative amplitude relationship and solve for angular frequency.

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Calculus

Constant Definite Integral

Calculate signed integral from constant function value and interval width.

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Calculus

Constant Definite Integral: solve constant function value

Rearrange the constant definite integral relationship and solve for constant function value.

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Calculus

Constant Definite Integral: solve interval width

Rearrange the constant definite integral relationship and solve for interval width.

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Calculus

Linear Ramp Integral

Calculate signed integral from ending height from zero and interval width.

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Calculus

Linear Ramp Integral: solve ending height from zero

Rearrange the linear ramp integral relationship and solve for ending height from zero.

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Calculus

Linear Ramp Integral: solve interval width

Rearrange the linear ramp integral relationship and solve for interval width.

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Calculus

Forward-Difference Derivative

Calculate forward derivative estimate from function-value change and step width.

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Calculus

Forward-Difference Derivative: solve function-value change

Rearrange the forward-difference derivative relationship and solve for function-value change.

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Calculus

Forward-Difference Derivative: solve step width

Rearrange the forward-difference derivative relationship and solve for step width.

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Calculus

Central-Difference Derivative

Calculate central derivative estimate from function-value change across stencil and total stencil width.

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Calculus

Central-Difference Derivative: solve function-value change across stencil

Rearrange the central-difference derivative relationship and solve for function-value change across stencil.

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Calculus

Central-Difference Derivative: solve total stencil width

Rearrange the central-difference derivative relationship and solve for total stencil width.

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Calculus

Rectangle-Rule Quadrature

Calculate integral estimate from representative function height and interval width.

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Calculus

Rectangle-Rule Quadrature: solve representative function height

Rearrange the rectangle-rule quadrature relationship and solve for representative function height.

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Calculus

Rectangle-Rule Quadrature: solve interval width

Rearrange the rectangle-rule quadrature relationship and solve for interval width.

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Calculus

Trapezoid Average-Height Quadrature

Calculate trapezoid estimate from average endpoint height and interval width.

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Calculus

Trapezoid Average-Height Quadrature: solve average endpoint height

Rearrange the trapezoid average-height quadrature relationship and solve for average endpoint height.

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Calculus

Trapezoid Average-Height Quadrature: solve interval width

Rearrange the trapezoid average-height quadrature relationship and solve for interval width.

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Calculus

Simpson Weighted-Height Quadrature

Calculate simpson estimate from simpson weighted mean height and interval width.

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