Directional Derivative Calculator

The directional derivative is the gradient dotted with a unit direction vector. Formula: Dᵤf = ∇f · u, where |u| = 1

$$ f(x,y) $$
$$ f(x,y,z) $$

x coordinate

y coordinate

Calculate a Directional Derivative

The directional derivative is the gradient dotted with a unit direction vector.

Formula: Dᵤf = ∇f · u, where magnitude of u = 1

Check the function, variable and any domain or bounds before calculating. Differentiation and integration results depend on the expression and conditions supplied, so an algebraically valid result still needs to match the original problem.

Check the result by differentiating or integrating the displayed expression as appropriate and confirm the required domain or bounds.

Frequently Asked Questions FAQ

What does Directional Derivative Calculator calculate?

The directional derivative is the gradient dotted with a unit direction vector.

What is the formula for Directional Derivative Calculator?

The formula used by the calculator is: Dᵤf = ∇f · u, where magnitude of u = 1

What inputs does Directional Derivative Calculator need?

Enter the function, evaluation point and direction vector; the direction vector must be normalized to a unit vector.

How can I verify the Directional Derivative Calculator result?

Check the result by differentiating or integrating the displayed expression as appropriate and confirm the required domain or bounds.

How should I round the Directional Derivative Calculator result?

Keep exact values such as fractions or radicals when useful, and round only the final numerical result when a decimal answer is required.

Have Feedback or a Suggestion?

Kindy let us know your reveiws about this page

;