6 calculators in this category
- Partial Derivative CalculatorClairaut's theorem on the equality of mixed partialsType a function of x , y and z and this calculator differentiates it with respect to one variable at a time, holding the others…
- Double Integral CalculatorFubini's theorem for iterated integrals; polar area element r dr dθA double integral adds up a quantity over a two-dimensional region, and Fubini's theorem lets you do it as two ordinary…
- Gradient Vector Calculator (grad f)Gradient of a scalar field, ∇fEnter a scalar function of two or three variables and a point, and this calculator returns ∇f there — every partial derivative…
- Directional Derivative CalculatorDirectional derivative Dᵤf = ∇f · uEnter a function of two or three variables, a point and a direction vector, and this calculator returns the directional…
- Divergence of a Vector Field CalculatorVector calculus: ∇·F in orthogonal curvilinear coordinatesEnter the three components of a vector field and a point, choose Cartesian, cylindrical or spherical coordinates, and this…
- Curl of a Vector Field CalculatorVector calculus: ∇ × F and the conservative field criterionEnter the three components of a vector field and a point, and this calculator evaluates curl F = ∇ × F there, showing each of…
Which one do you need?
- Partial Derivative Calculator
- Differentiate f(x,y,z) in one variable at a time. Get the symbolic partial derivative, its value at a point, all second and mixed partials, and a Clairaut check.
- Double Integral Calculator
- Evaluate an iterated double integral over a rectangular, general or polar region, with the inner integral shown slice by slice and the area of the region reported.
- Gradient Vector Calculator (grad f)
- Compute the gradient of a scalar field at a point: every partial derivative, the magnitude that gives the maximum rate of change, and the steepest direction.
- Directional Derivative Calculator
- Find the rate of change of f in a chosen direction at a point, with the unit vector, the gradient, the maximum possible rate and the angle between them.
- Divergence of a Vector Field Calculator
- Compute div F = ∇·F at a point in Cartesian, cylindrical or spherical coordinates, see each term separately, and test whether the field is solenoidal.
- Curl of a Vector Field Calculator
- Compute curl F = ∇ × F at a point from the three field components, see every partial derivative used, and test whether the field is conservative or irrotational.