Enter my response with proper math syntax

Proper mathematical syntax is required while entering your response to questions whether you're using Text Mode or Symbol Mode for your responses.

To see how to enter proper math syntax in Möbius:

TIP: Check out Choose a math entry mode to learn about the differences between the two math entry modes.

The following types of mathematical entries require particular syntax styling in order for Möbius to correctly interpret your response:

• Mathematical expressions
• Variable names
• Function and operator syntax

Some notation applies to all of Möbius, while others apply specifically to questions that require you to respond with Maple Syntax.

Maple Syntax — The language that the Maple^TM math engine uses to interpret mathematical expressions.

Mathematical expression syntax

When entering formulas and expressions as your response, use standard mathematical notation that's similar to that used by a graphing calculator (Example — (x^2-2*x+1)*2*sin(x)*(x^2+1)*e^(-x^2) is accepted).

Here are some notes on using mathematical expression syntax when entering your response:

• Place the argument of a function in parentheses () (Example — enter sqrt(3x) not sqrt 3x, which is interpreted as (sqrt(3))*x)
• Be sure to include parentheses () (Example — the expression 1/(x+1) is different from 1/x+1 which Möbius interprets as)

Variable name syntax

The variable(s) in your response must be identical—this includes case sensitivity—to the variable(s) used in the question statement.

If these don't match, your response will be graded as incorrect (Example — if the question uses the variable t, but you've entered a response that uses T, your response won't match the defined correct answer and will be graded as incorrect).

Function and operator syntax

Functions and operators require specific syntax when they're used within your response.

The required syntax varies depending on whether you're required to respond using Möbius syntax or Maple syntax.

NOTE: In general, you can assume that you should be using Möbius syntax unless your instructor has provided specific instructions that you're required to respond using Maple syntax.

TIP: Remember to preview your response whenever possible using the preview iconto ensure that the syntax that you're using is properly interpreted by Möbius.

Arithmetic

Arithmetic	Syntax for Möbius or Maple
Addition	+
Subtraction	-
Multiplication	*
Division	/
Exponentiation	^

Trigonometric functions

Function	Syntax for Möbius or Maple
Sine	sin
Cosine	cos
Tangent	tan
Inverse sine	arcsin
Inverse cosine	arccos
Inverse tangent	arctan
Secant	sec
Cosecant	csc
Cotangent	cot

NOTE: Arguments of trigonometric functions are evaluated in radians. The results of the inverse trigonometric functions are evaluated in radians.

Hyperbolic trigonometric functions

Function	Möbius syntax	Maple syntax
Hyperbolic sine	hypsin	sinh
Hyperbolic cosine	hypcos	cosh
Hyperbolic tangent	hyptan	tanh
Hyperbolic secant	hypsec	sech
Hyperbolic cosecant	hypcsc	csch
Hyperbolic cotangent	hypcot	coth
Inverse hyperbolic sine	archypsin	arcsinh
Inverse hyperbolic secant	archypsec	arcsech
Inverse hyperbolic cosecant	archypcsc	archcsch
Inverse hyperbolic cotangent	archypcot	arccoth

NOTE: Arguments of trigonometric functions are evaluated in radians. The results of the inverse trigonometric functions are evaluated in radians.

Numbers and constants

N/A* — Not available

Number or constant	Möbius syntax	Maple syntax
2.71828...	e	exp(1)
3.14159...	Pi	Pi
Scientific notation	E	E
	N/A*	I

TIP: The E for scientific notation is entered between the coefficient and the order of magnitude (Example — 290,000,000 would be 2.9E8).

NOTE: For the square root of -1, it's a capital letter i.

Functions

N/A* — Not available

Function	Möbius syntax	Maple syntax
Limit of a function ƒ	N/A*	limit(f, x=a)
Derivative or partial derivative of a function ƒ	N/A*	diff(f, x)
Integral of a function ƒ	N/A*	int(f, x)
Absolute value	abs(x)	abs(x)
Square root	sqrt(x) or x^(1/2)	sqrt(x) or x^(1/2)
Exponential	e^x	exp(x)
Logarithm base b	N/A*	log[b](x)
Logarithm base 10	log(x)	log10(x)
Natural logarithm (base e)	ln(x)	log(x) or ln(x)