# Second, third, and other derivatives

Evaluates first, second third and other derivatives of a single argument function

This calculator finds the first, second, third, and other derivatives of an entered function.

Use the "Function" field to enter a mathematical expression with an x variable. You can use operations like addition +, subtraction -, division /, multiplication *, power ^, and common mathematical functions. Full syntax description can be found below the calculator.

### Function formula syntax

In function notation you can use one variable (always use **x**), brackets, pi number (**pi**), exponent (**e**), operations: addition **+**, subtraction **-**, division **/**, multiplication *****, power **^**.

You can use following common functions: **sqrt** - square root,**exp** - power of exponent,**lb** - logarithm to base 2,**lg** - logarithm to base 10,**ln** - logarithm to base e,**sin** - sine,**cos** - cosine,**tg** - tangent,**ctg** - cotangent,**sec** - secant,**cosec** - cosecant,**arcsin** - arcsine,**arccos** - arccosine,**arctg** - arctangent,**arcctg** - arccotangent,**arcsec** - arcsecant,**arccosec** - arccosecant,**versin** - versine,**vercos** - vercosine,**haversin** - haversine,**exsec** - exsecant,**excsc** - excosecant,**sh** - hyperbolic sine,**ch** - hyperbolic cosine,**th** - hyperbolic tangent,**cth** - hyperbolic cotangent,**sech** - hyperbolic secant,**csch** - hyperbolic cosecant, **abs** - module, **sgn** - signum (sign), **log__ p - logarithm to base p, f.e. log7(x) - logarithm to base 7, **root__

*p*- p-th root, f.e. root3(x) - cubic root

You may also look at Derivative to calculate the first derivative with a step-by-step description.

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