Mister exam

Piecewise-defined function

    Examples of piecewises

    What the calculator can do?

    On this page you can get various actions with a piecewise-defined function, as well as for most services - get the detailed solution.

    • Derivative of a piecewise
    • Plot a graph
    • Study the function
    • Defined integral
    • Indefined integral of similar functions
    • Limit of piecewises
    • Fourier series (In common there are piecewises for calculating a series in the examples)
    • Taylor series

    First, set the function.

    How to set conditions?

    Here are some examples of how to set conditions:

    x is not zero
    x > pi
    x greater than Pi number
    -pi/2 <= x <= pi/2
    x less than or equal to Pi number in half, but not strictly greater than Pi in half
    means "otherwise"

    The above examples also contain:

    • the modulus or absolute value: absolute(x) or |x|
    • square roots sqrt(x),
      cubic roots cbrt(x)
    • trigonometric functions:
      sinus sin(x), cosine cos(x), tangent tan(x), cotangent ctan(x)
    • exponential functions and exponents exp(x)
    • inverse trigonometric functions:
      arcsine asin(x), arccosine acos(x), arctangent atan(x), arccotangent acot(x)
    • natural logarithms ln(x),
      decimal logarithms log(x)
    • hyperbolic functions:
      hyperbolic sine sh(x), hyperbolic cosine ch(x), hyperbolic tangent and cotangent tanh(x), ctanh(x)
    • inverse hyperbolic functions:
      hyperbolic arcsine asinh(x), hyperbolic arccosinus acosh(x), hyperbolic arctangent atanh(x), hyperbolic arccotangent acoth(x)
    • other trigonometry and hyperbolic functions:
      secant sec(x), cosecant csc(x), arcsecant asec(x), arccosecant acsc(x), hyperbolic secant sech(x), hyperbolic cosecant csch(x), hyperbolic arcsecant asech(x), hyperbolic arccosecant acsch(x)
    • rounding functions:
      round down floor(x), round up ceiling(x)
    • the sign of a number:
    • for probability theory:
      the error function erf(x) (integral of probability), Laplace function laplace(x)
    • Factorial of x:
      x! or factorial(x)
    • Gamma function gamma(x)
    • Lambert's function LambertW(x)

    The insertion rules

    The following operations can be performed

    - multiplication
    - division
    - squaring
    - cubing
    - raising to the power
    x + 7
    - addition
    x - 6
    - subtraction
    Real numbers
    insert as 7.5, no 7,5


    - number Pi
    - the base of natural logarithm
    - complex number
    - symbol of infinity
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