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Differentiation
Quiz 1
Quiz 2
Quiz 3
Questions
right first
attempt
right
wrong
MathQuiz 4.2
University of Sydney
School of Mathematics
and Statistics
© Copyright 2004
Differentiation - Quiz 1
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.
Your answer is correct.
so
Not correct. Choice
(c)
is
false
.
Try again, remember
Not correct. Choice
(d)
is
false
.
Try again, remember
Question 2
Which of the following is the derivative of
Recall
a)
b)
c)
d)
Not correct. Choice
(a)
is
false
.
Try again, convert
and then use the differentiation rules.
Not correct. Choice
(b)
is
false
.
Try again, you have integrated
Not correct. Choice
(c)
is
false
.
Try again, convert
and then use the differentiation rules.
Your answer is correct.
and
Question 3
Which of the following is the derivative of
a)
b)
c)
d)
Your answer is correct.
and
Not correct. Choice
(b)
is
false
.
Try again, convert
and then use the differentiation rules.
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, this is the first derivative.
Not correct. Choice
(b)
is
false
.
Try again, note that
Your answer is correct.
Not correct. Choice
(d)
is
false
.
Try again, you must differentiate each term twice.
Question 5
The gradient of the curve
is zero at which of the following values of
a)
and
b)
c)
d)
Not correct. Choice
(a)
is
false
.
Try again, this is where the function is zero, not where the gradient is zero.
Your answer is correct.
so
when
Not correct. Choice
(c)
is
false
.
Try again, 6 is the
-intercept.
Not correct. Choice
(d)
is
false
.
Try again, this is the gradient function but doesn’t answer the question.