Make a good plot of the function: f(x) = sin(1/x) for 0.01 < x < 0.1. How did you create x so that the plot looks good?

How to assign the limits and plot it

Answer 1

[Michael Haderlein]

In this case, I'd rather use a logarithmic spaced x instead of a linearly spaced one. I'm sure you are aware that this function gets tricky for small x, so you'll need quite a lot of points to evaluate there. You can use something like

 x=logspace(-2,-1,500);
 y = sin(1./x);
 plot(x,y)

Answer 2

[Sajjadul Haque]

F(x)= sin-1(x)

Write down the matlab program to determine central,

forward and backward derivatives of F(x); and also Write

down the matlab program to determine the exact derivative.