Calculating Derivatives in MATLAB

Question

PLEASE USE MATLAB

My project is supposed to use Matlab and let the user type in any function and the output is the derivative of the function inputed. Please copy and paste your code... I am desperate and this is due in 2 days! I need help.

Answer 1

Symbolically;

syms x real

f = 1/x

int(f,1,2) % integration

ans =

log(2)

diff(f) %differentiation

ans =

by amplification;

syms x a b real positive

f = 1/x

f =

1/x

int(f) % without limits

ans =

log(x)

int(f,a,b) % with limits

ans =

log(b) - log(a)

fn = matlabFunction(f) % convert symbolic to anonymous function

fn =

@(x)1./x

quadgk(fn,1,2) % integrate numerically

ans =

0.6931

log(2) % previous result from symbolic integration

ans =

0.6931

(fn(2+1e-6)-fn(2))/1e-6 %numerical derivative at fn(2)

ans =

-0.2500

subs(diff(f),2) %substitute 2 into symbolic result previously obtained

ans =

-0.2500