How this calculation works
Apply one gradient descent update to a two-dimensional point.
THE FORMULA
x_new=x−η∇f(x)A worked example
From (3,4), subtract half of (2,−1) to reach (2,4.5).
Good to know
The gradient must be evaluated at the starting point.
Reference: OpenStax Calculus Volume 3 (opens in a new tab) ↗
Read the result
Apply one gradient descent update to a two-dimensional point.
The primary result is labeled “New x”. Keep the input definitions in view when comparing this result with another method.
Try a related calculation
The gradient must be evaluated at the starting point.
For a related exercise, try the quadratic equation solver.
A few questions, answered
How can I check the default inputs by hand?
From (3,4), subtract half of (2,−1) to reach (2,4.5).
Which rule does this calculator apply?
x_new=x−η∇f(x)