Central Difference Method Program

Write a function that computes the slope of a curve using the Central Divided Difference method

$f^{\text{'}}=\frac{f(x+h)-f(x-h)}{2h}$

Function name: cent$\_$div$\_$diff

Inputs: two: a value for $x$ and the step size $h$

Outputs: one: the central divided$-$difference estimate of the derivative of the function stored in the program my$\_$fun.m at the input value

Comments

H$1$ help line

Author and creation date information

Explanations of code and variables as necessary

Error Checking

Check for incorrect user inputs $-$ at least $3$ checks are required. You can chose what type of errors to check for.

Sample my$\_$fun.m

function $y=m{y}_{-}$fun $(x)$

$y=(sin(x+5)+1{)}^2-(x-5{)}^2**cos(x+5)+x$

Sample output