The gradient stores all the partial derivative information of a multivariable function. But it's more than a mere storage device, it has several wonderful interpretations and many, many uses.

The gradient captures all the partial derivative information of a scalar-valued multivariable function.

Learn how to write the slope formula from scratch and how to apply it to find the slope of a line from two points.

The slope of a line is a measure of its steepness. Mathematically, slope is calculated as "rise over run" (change in y divided by change in x).

Walk through a graphical explanation of how to find the slope from two points and what it means.

Instead of finding minima by manipulating symbols, gradient descent approximates the solution with numbers. Furthermore, all it needs in order to run is a function's numerical output, no …

Learn about the slope-intercept form of two-variable linear equations, and how to interpret it to find the slope and y-intercept of their line.

Explore how to interpret the derivative of a function at a specific point as the curve's slope or the tangent line's slope at that point. Dive into problem-solving examples that demonstrate this …

Slope tells us how steep a line is. It's like measuring how quickly a hill goes up or down. We find the slope by seeing how much we go up or down (vertical change) for each step to the right …

Given scalar field, what is the gradient?