MATLAB: How to make a function that uses a mathematical function as an input

Question

I want to create a function that takes two inputs

f(x) and x1

that I can put through the central finite differentiation formula;

y=(f(x1+h)-f(x1-h))/2h

where h is a constant

and the function on each side = f(x)

so for example;

f(x)=sin(x)
x1=2
y=sin(2+h)-sin(2-h)/2*h

I want to function input that i can subsititute into but I don't know how to go about it, I've looked at anonymous function, parameter and other documentation.

I just want a nudge in the right direction, not a complete answer if at all possible.

Answer 1

f=@(x)sin(x);