Xcalc: Public Functions

Public Functions

Domain

def(expr)

• Description: Domain of expr (improved version of domain function)

• Type: Function

• Output: Returns list with 2 forms of the domain

def_eq(expr)

• Description: Domain analysis of expr and derivative of expr

• Type: Function

• Output: Returns whether the domains are equal

def2(expr, var)

• Description: Domain of expr with variable var (def2 determines undefined points in the domain)

• Type: Function

• Output: Returns list of values where expr is undefined

range(function)

• Description: Range of function

• Type: Function

Function info

fn_info(function)

• Description: Analysis of function

• Type: Program

• Output: Displays the following:

  • Domain
  • Min and max (global)
  • Intercepts (x and y)
  • Parity
  • Asymptotes (horizontal and vertical)

inverse(function)

• Description: Inverse function of function

• Type: Function

rational_fn(num, den)

• Description: Rational function analysis (where P is num and Q is den)

• Type: Program

• Output: Displays the following:

  • Domain
  • Factors of num and den
  • Holes
  • Intercepts (x and y)
  • Asymptotes (horizontal, vertical, slant)

crit_points(function)

• Description: Critical points of function (with more details)

• Type: Program

intervals(function, var, domain)

• Description: Intervals of increase/decrease for function (with critical points)

• Type: Program

inflect_points(function)

• Inflection points of function

• Displays f''(x) and roots of f''(x)

• Displays domain of f''(x)

parity(function)

• Description: Parity of function with name function

• Type: Function

• Output: Returns even/odd/neither

antideriv(function, variable)

• Description: Antiderivative of function with respect to variable

• Type: Function

deriv(expr)

• Description: Derivative of expr according to the limit definition of a derivative

• Type: Program