Can you name the answers to these simple calculus questions? by deanemj

Question	Answer
Derivative of 3x
Integral of x^2
Derivative of 5x^3
Limit of 1/x as x approaches infinity
Limit of (3x+2)/(2x+5) as x approaches 0
Derivative of cos(x)
Derivative of sin(x)
Derivative of tan(x)
Integral of 1/x
Integral of 6x^2

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Simple Calculus Quiz

by deanemj

Created May 1, 2010 in Miscellaneous
Game Plays 1,409

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	marpocky:	May 2nd, 2010 at 00:16 GMT		-1 points
	"1/3x^3" is properly read as 1/(3x^3). Either space it, use parentheses, or call it x^3/3. In any case, you should accept x^3/3 as correct. Also, the natural log function is more commonly written as ln, and at the very least should be accepted as an alternate answer, including ln \|x\|, which is more general anyway (doesn't exclude negative x values).

	javonzir:	May 2nd, 2010 at 00:36 GMT		5 points
	Shouldn't 0.4 be a valid answer for Limit of (3x+2)/(2x+5)?

	deanemj:	May 2nd, 2010 at 00:39 GMT		2 points
	Both of these comments are valid and I will update the quiz accordingly. Thanks for the input! :)

	dethwing:	May 3rd, 2010 at 20:24 GMT		0 points
	Also, you mean indefinite integral. Just saying "integral" is not enough information. But the big thing is ln\|x\|. It's simply wrong to not have the absolute value.

	kryan82:	May 5th, 2010 at 16:09 GMT		2 points
	I don't think you should accept "sin(x)" for "-sin(x)". They are definitely not the same thing. I forgot the negative but I still got it right. Great idea for a quiz!

	confused:	May 6th, 2010 at 03:31 GMT		1 point
	Echoing marpocky above. I tried (1/3)x^3 , and when it was not accepted just decided I'd obviously forgotten how to integrate. But I had fun - it was a nice idea.

	Osthato:	Jul 18th, 2010 at 19:19 GMT		2 points
	Each of the integral questions is missing the +C, and the integral of 1/x is ln\|x\|, not log(x)

	Danica:	Feb 23rd, 2011 at 00:18 GMT		2 points
	I agree with Osthato, even though you accept the answer lnx, logx is still incorrect, it only works for the log of e.

	Paepaok:	Jun 10th, 2011 at 02:14 GMT		0 points
	The absolute value for log(x) is not necessary and is wrong in the complex plane. Also, some people assume log(x) to be the natural logarithm.

	rickem78:	Oct 14th, 2011 at 07:51 GMT		1 point
	Can you explain the limit problem?

	Arsnicly:	May 27th, 2012 at 22:03 GMT		1 point
	You need more possible answers cause there are so many ways to write things like this for example I got stuck on 2 for writing (x^3/3) witch is perfectly right but not in your possible answers I'd prefer if you modified the different possible answers and added a note in the explanation for people to try a different way of writing the answer if they continue to get it wrong.