# JMathLabTutorial:Differentiation

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# Differentiation

diff(function,x) differentiates function with respect to the symbolic variable x. The main variable of function is used if x is not provided. Functions defined by user programs can often be handled as well.

syms a,x
y=diff(a*x^3,x); printf('%f',y)

You can easily plot the result of differentiation as:

syms x % symbolic x
y=diff(x*cos(x),x) %  differentiate x*cos(x)
plot2d('minx=0;maxx=10;miny=-1;maxy=10')  % make canvas
draw2d(y) % plot the result

Let us consider few more example skipping the print statement:

syms a,x
y=diff(a*x^3,a); printf('%f',y)

syms x
y=diff(3*sqrt(exp(x)+2),x); printf('%f',y)

syms x
y=diff(sin(x));  printf('%f',y)     % no variable specified

syms x
y=diff(sin(x),x);  printf('%f',y)   % more reasonable

syms x
function y=ttwo(x) y=2*x; end
y=diff(ttwo(sin(x)),x)
printf('%f',y)