To calculate the **first and second order derivatives** of the **highlighted** *function* or *parametric equation* press the **Derivative** button. The calculated derivatives will be displayed. You can then press **Graph f, f'** or **Graph f, f', f"** (or **Graph p, p'** or **Graph p, p', p"** in parametric case) to graph the expression together with its first and/or second derivative(s). The Derivative Graphing Calculator inserts he expressions for the derivatives below the highlighted expression or adds to the top of input panel on the left of the calculator.

The **derivative calculator** instantly recognizes if a function is constant in which case it will return **0**. For example, if you calculate the derivative of **sin(x)^2+ cos(x)^2** you will get **0** for the function is constant (=**1**).

The form of the **derivative** calculated may look different from but equivalent to what you might expect. For example, the **derivative** of
f(x) = sin(x)cos(x)
is calculated as
f'(x) = cos(x)*cos(x)+sin(x)*-sin(x)
which is equivalent to
f'(x) = cos^{2}(x) - sin^{2}(x)

To calculate **partial derivatives of multi-variable functions** with respect to any variable use Partial Derivative Calculator.