gradient

gradient(F, [h])

Compute differences along vector F, using h as the spacing between points. The default spacing is one.

Examples

Calculate the gradient of a function:
```
julia> f(x) = x^2 + 2x + 1;
julia> gradient(f, [1, 2, 3])
3-element Array{Int64,1}:
4
6
8
```
This example calculates the gradient of the function f(x) = x^2 + 2x + 1 at the points [1, 2, 3].

Calculate the gradient with a custom spacing:

julia> f(x) = sin(x);
julia> gradient(f, [0.0, 0.1, 0.2, 0.3], 0.1)
4-element Array{Float64,1}:
0.9983341664682815
0.49875020878499973
-0.001665833531718474
-0.5012497912150002

It calculates the gradient of the function f(x) = sin(x) at the given points [0.0, 0.1, 0.2, 0.3] using a spacing of 0.1.

Calculate the gradient without specifying the spacing (default spacing):
```
julia> f(x) = exp(x) + x^2;
julia> gradient(f, [1, 2, 3])
3-element Array{Float64,1}:
4.718281828459045
9.389056098930649
20.085536923187668
```
It calculates the gradient of the function f(x) = exp(x) + x^2 at the points [1, 2, 3] using the default spacing of 1.

Common mistake example:

julia> f(x, y) = x^2 + y^2;
julia> gradient(f, [1, 2, 3])
ERROR: MethodError: no method matching gradient(::typeof(f), ::Array{Int64,1})

In this example, the function f(x, y) is defined with two arguments, but the gradient function is called with only one array argument. Ensure that the function passed to gradient matches the number of elements in the array or provide the correct number of arguments for the function.

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gradient

Examples

See Also

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