Real Function of Two Variables/Examples/Arbitrary Example 1

Example of Real Function of Two Variables

The real-valued function $f: \R^2 \to \R$:

$\map f {x_1, x_2} = \sin x_1 + x_1 \cos x_2$

is an example of a real function of two wariables.

Sources

• 1973: G. Stephenson: Mathematical Methods for Science Students (2nd ed.) ... (previous) ... (next): Chapter $1$: Real Numbers and Functions of a Real Variable: $1.3$ Functions of a Real Variable: $\text {(c)}$ Functions of More than One Variable $(2)$