Functions of Several Variables

$$f(x_1,x_2,x_3...x_n)$$

• Functions of several variables is usually found in things with physical quantities

  • Particularly, physical quantities that vary in space and time (temperature in a room, pressure density in the ocean, etc. )

• Often with these functions of several variables, one may need to calculate things like rate of change, approximation, minimums, maximums, and other traditional calculus operations.

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Functions of 1 Variable

• Y =f(x)
• r(t) = (f(t), g(t))
• r(t) = (x, y(x))

One input, and one output…

Functions of 2 Variables

• Known as “surface equations”