How to write the difference quotient in matlab?

Hey guys, I have a question regarding writing the difference quotient. I want to write the difference quotient for a function as well as the original function. I'll give an example of what I am talking about. lets say:

x = linspace(-2*pi,2*pi)
h = .01 
f(x) = sin(x).^2 + 4*x

the difference quotient is (f(x+h)-f(x))/h

I want to graph x,f(x) and x,(f(x+h)-f(x))/h

plot(x,f(x))
hold on

I get lost here. How would I go about writing how to difference quotient with it?

Answer 1

[Kaushik Lakshminarasimhan]

x = linspace(-2*pi,2*pi); h = .01;
hold on;
plot(x,sin(x).^2 + 4*x);
plot(x,((sin(x+h).^2 + 4*(x+h)) - (sin(x).^2 + 4*x))/h);