This problem demonstrates various WeBWorK procedures for dealing with answers involving functions. In particular, by entering syntactically incorrect answers, you can see the error messages generated by WeBWorK. Note that exponentiation can be denoted by ** or $\hat{}$ . See Answer Evaluators for documentation on these procedures. See Available Functions for details on entering expressions involving elementary functions.

Enter the derivative of sin(x) (e.g. cos(x), sin(x+pi/2), cos(x)**2 + cos(x) + sin(x)**2 -1, etc.)
This uses function_cmp


Next enter the derivative of sin(t) on the interval $( -\pi/2 , \pi/2 )$. Note that now the variable is t and that sqrt(cos(t)**2) is a valid answer.
This uses function_cmp with parameters specifying the variable and interval


Finally enter the antiderivative of x + sin(x) (e.g. .5*(x**2) - cos(x), (1/2)*(x**2) - cos(x) + 3, sin(x)**2 + cos(x)**2 + sec(pi/4) - cos(x) +(x/sqrt(2))**2 +ln(e**x) -x, etc.)
This uses function_cmp_up_to_constant

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