Symbolic Math Introduction

Symbolicintermediate~8 min

Create symbolic variables, differentiate, integrate, and solve equations.

Step 1 — Symbolic expressions

Declare symbolic variables with syms, build and expand expressions.

syms x;
f = (x + 1)^3;
result = expand(f);
disp(result)

Expected output: x^3 + 3*x^2 + 3*x + 1

diff() computes derivatives, integrate() computes antiderivatives.

syms x;
f = sin(x) * exp(x);
df = diff(f, x);
F = integrate(f, x);
disp(df)

Expected output: Derivative expression

symsolve() finds symbolic solutions.

syms x;
solutions = symsolve(x^2 - 5*x + 6, x);
disp(solutions)

Expected output: x = 2, x = 3