To calculate the second derivative of a function in MATLAB, you can use the built-in function `diff`

. First, you need to differentiate your function `f`

once using `diff(f)`

and then differentiate the result again using `diff(diff(f))`

. Here's an example:

main.m277 chars13 lines

In this example, we first define the function `f`

as the sine function evaluated on a grid of `x`

values. We then calculate the second derivative of `f`

by calling `diff`

twice and scaling the result by the square of the grid spacing. Finally, we plot the second derivative as a function of `x`

.

Note that the second derivative is computed on the interior points of the grid, so the resulting vector `f_double_prime`

will have length one less than the original vector `f`

.

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