$Partial Derivatives and Gradient$

Partial Derivatives and Gradient

First and second partial derivatives of a function of several variables and the gradient at a point.

What to find:

First-order partial derivatives

Second-order partial derivatives

Gradient at a point

f(x, y, z) =

Variables x, y, z. Examples: x^2 y + y^3, sin(x y), e^(x + 2y). Multiply variables with a space or *.

This calculator finds first and second partial derivatives of a function of several variables and its gradient at a point.

When differentiating by one variable the others are treated as constants. The gradient is made of the first derivatives and points in the direction of greatest growth.

Example. For f = x²y: ∂f/∂x = 2xy, ∂f/∂y = x².

Comments

No comments yet.

Linked Calculators

$Normal Line and Corner Points Calculator$

Normal Line and CornersHigher Mathematics Calculators

$Area and Solids of Revolution Calculator$

Area and RevolutionHigher Mathematics Calculators

$Interpolation Calculator: Linear and Polynomial$

InterpolationHigher Mathematics Calculators

$3D Surface Plot Calculator$

3D PlotsHigher Mathematics Calculators

$Differential Equation Solver: Main Types and Initial Value Problems$

Differential EquationsHigher Mathematics Calculators

$Double and Triple Integral Calculator$

Multiple IntegralsHigher Mathematics Calculators