Differentiation - Quiz 2    Question

Question 1

Which of the following is the derivative of

a)				b)
c)				d)

 

Not correct. Choice (a) is false.

Try again, the derivative of a constant is zero.

Not correct. Choice (b) is false.

Try again, remember

Your answer is correct.

Not correct. Choice (d) is false.

Try again, remember you have integrated

Question 2

Which of the following is the derivative of
Recall

a)				b)
c)				d)

 

Your answer is correct.

Not correct. Choice (b) is false.

Try again, convert and then use the differentiation rules.

Not correct. Choice (c) is false.

Try again, you have integrated

Not correct. Choice (d) is false.

Try again, convert and then use the differentiation rules.

Question 3

Which of the following is the derivative of

a)				b)
c)				d)

 

Not correct. Choice (a) is false.

Try again, convert and then use the differentiation rules.

Your answer is correct.

Not correct. Choice (c) is false.

Try again, look carefully at the sign.

Not correct. Choice (d) is false.

Try again, convert and then use the differentiation rules.

Question 4

Which of the following is the second derivative of

a)				b)
c)				d)

 

Not correct. Choice (a) is false.

Try again, check the signs

Not correct. Choice (b) is false.

Try again, this is the first derivative.

Not correct. Choice (c) is false.

Try again, you must differentiate each term twice, noting that

Your answer is correct.

Question 5

The curve has a local maximum at which value of

a)				b)
c)				d)

 

Not correct. Choice (a) is false.

Try again, this is where the second derivative of the function is zero, not where the gradient is zero.

Not correct. Choice (b) is false.

Try again, the function has a local minimum at

Your answer is correct.

	=
	=	0 when and
	=
Hence		0 when and when

Hence there is a maximum at and a minimum at

Not correct. Choice (d) is false.

Try again, you may have used the wrong function, there is a maximum at for the function