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isdifferentiable

test for piecewise functions

 

Calling Sequence

Parameters

Description

Examples

Calling Sequence

isdifferentiable(expr, var, class)

isdifferentiable(expr, var, class, varparam)

Parameters

expr

-

expression

var

-

variable name

class

-

number n telling if the expr is in class Cn

varparam

-

(optional) name

Description

• 

isdifferentiable determines if the expression expr containing piecewise or piecewise functions such as abs, signum, max, ..., is of class C^ class.  It returns either true or false.

• 

The optional argument varparam can be passed to the function and in case expr is not of class Cn, varparam contains information of which Cn class the function is, and a list of points where we have discontinuities in the n+1-th derivative.

Examples

piecewisex<1&comma;x&comma;x<1&comma;xx&comma;x

&lcub;xx<1x2x<1xotherwise

(1)

isdifferentiable&comma;x&comma;1

false

(2)

isdifferentiable&comma;x&comma;2&comma;&apos;la&apos;

false

(3)

la

0&comma;1&comma;1

(4)

isdifferentiablex&comma;x&comma;2

false

(5)

isdifferentiablex&comma;x&comma;2&comma;&apos;la&apos;

false

(6)

la

0&comma;0

(7)

See Also

convert/piecewise

dsolve/piecewise

piecewise

simplify/piecewise

 


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