Learn more about Symbolic Math Toolbox

diff - Differentiate symbolic expression

Syntax

diff(expr) diff(expr, v) diff(expr, sym('v')) diff(expr, n) diff(expr, v, n) diff(expr, n, v)

diff(expr) differentiates a symbolic expression expr with respect to its free variable as determined by symvar.

diff(expr, v) and diff(expr, sym('v')) differentiate expr with respect to v.

diff(expr, n) differentiates expr n times. n is a positive integer.

diff(expr, v, n) and diff(expr, n, v) differentiate expr with respect to v n times.

Differentiate the following single-variable expression one time:

syms x;
diff(sin(x^2))

The result is

ans =
2*x*cos(x^2)

Differentiate the following single-variable expression six times:

syms t;
diff(t^6,6)

The result is

ans =
720

Differentiate the following expression with respect to t:

syms x t;
diff(sin(x*t^2), t)

The result is

ans =
2*t*x*cos(t^2*x)