THE UNIVERSITY OF SYDNEY
Math1901 Differential Calculus (Advanced)
Semester 1
2013
Tutorial Week 2
1. (This question is a preparatory question and should be attempted before the tutorial.
Answers are provided at the end of the sheet please check your work
THE UNIVERSITY OF SYDNEY
Math1901 Differential Calculus (Advanced)
Semester 1
Tutorial Week 3
2015
1. (This question is a preparatory question and should be attempted before the tutorial. Answers are provided at the end of the sheet please check your work
THE UNIVERSITY OF SYDNEY
Math1901 Differential Calculus (Advanced)
Semester 1
2013
Tutorial Solutions Week 9
1. (This question is a preparatory question and should be attempted before the tutorial. Answers are provided at the end of the sheet please check
THE UNIVERSITY OF SYDNEY
Math1901 Differential Calculus (Advanced)
Semester 1
Tutorial Solutions Week 8
2013
(These preparatory questions should be attempted before the tutorial. Answers are provided at
the end of the sheet please check your work.)
1. The
THE UNIVERSITY OF SYDNEY
Math1901 Differential Calculus (Advanced)
Semester 1
2013
Tutorial Solutions Week 7
1. (This question is a preparatory question. Answers are provided at the end of the sheet
please check your work.)
Dierentiate the following (don
THE UNIVERSITY OF SYDNEY
Math1901 Differential Calculus (Advanced)
Semester 1
2013
Tutorial Solutions Week 5
1. (This question is a preparatory question and should be attempted before the tutorial. Answers are provided at the end of the sheet please check
THE UNIVERSITY OF SYDNEY
Math1901 Differential Calculus (Advanced)
Semester 1
Tutorial Week 3
2013
1. (This question is a preparatory question and should be attempted before the tutorial. Answers are provided at the end of the sheet please check your work
THE UNIVERSITY OF SYDNEY
Math1901 Differential Calculus (Advanced)
Semester 1
Tutorial Week 4
2013
1. (This question is a preparatory question and should be attempted before the tutorial. Answers are provided at the end of the sheet please check your work
THE UNIVERSITY OF SYDNEY
Math1901 Differential Calculus (Advanced)
Semester 1
2013
Tutorial Week 5
1. (This question is a preparatory question and should be attempted before the tutorial. Answers are provided at the end of the sheet please check your work
THE UNIVERSITY OF SYDNEY
Math1901 Differential Calculus (Advanced)
Semester 1
2013
Tutorial Week 6
(These preparatory questions should be attempted before the tutorial. Answers are provided at
the end of the sheet please check your work.)
1. Let f (x) = x
THE UNIVERSITY OF SYDNEY
Math1901 Differential Calculus (Advanced)
Semester 1
2013
Tutorial Week 7
1. (This question is a preparatory question. Answers are provided at the end of the sheet
please check your work.)
Dierentiate the following (dont worry ab
THE UNIVERSITY OF SYDNEY
Math1901 Differential Calculus (Advanced)
Semester 1
2013
Tutorial Week 8
(These preparatory questions should be attempted before the tutorial. Answers are provided at
the end of the sheet please check your work.)
1. The function
THE UNIVERSITY OF SYDNEY
Math1901 Differential Calculus (Advanced)
Semester 1
2013
Tutorial Week 9
1. (This question is a preparatory question and should be attempted before the tutorial. Answers are provided at the end of the sheet please check your work
THE UNIVERSITY OF SYDNEY
Math1901 Differential Calculus (Advanced)
Semester 1
2013
Tutorial Week 10
(These preparatory questions should be attempted before the tutorial. Answers are provided at
the end of the sheet please check your work.)
1. Sketch the c
THE UNIVERSITY OF SYDNEY
Math1901 Differential Calculus (Advanced)
Semester 1
Tutorial Week 13
2011
1. (This question is a preparatory question and should be attempted before the tutorial. Answers are provided at the end of the sheet please check your wor
THE UNIVERSITY OF SYDNEY
Math1901 Differential Calculus (Advanced)
Semester 1
2011
Tutorial Week 12
1. (This question is a preparatory question and should be attempted before the tutorial. Answers are provided at the end of the sheet please check your wor
THE UNIVERSITY OF SYDNEY
Math1901 Differential Calculus (Advanced)
Semester 1
2011
Tutorial Week 11
1. (This question is a preparatory question and should be attempted before the tutorial. Answers are provided at the end of the sheet please check your wor
THE UNIVERSITY OF SYDNEY
Math1901 Differential Calculus (Advanced)
Semester 1
2011
Tutorial Week 10
(These preparatory questions should be attempted before the tutorial. Answers are provided at
the end of the sheet please check your work.)
1. Sketch the c
THE UNIVERSITY OF SYDNEY
Math1901 Differential Calculus (Advanced)
Semester 1
2013
Tutorial Solutions Week 6
(These preparatory questions should be attempted before the tutorial. Answers are provided at
the end of the sheet please check your work.)
1. Let
THE UNIVERSITY OF SYDNEY
Math1901 Differential Calculus (Advanced)
Semester 1
Tutorial Solutions Week 13
2013
1. (This question is a preparatory question and should be attempted before the tutorial. Answers are provided at the end of the sheet please chec
THE UNIVERSITY OF SYDNEY
Math1901 Differential Calculus (Advanced)
Semester 1
Tutorial Solutions Week 3
2013
1. (This question is a preparatory question and should be attempted before the tutorial. Answers are provided at the end of the sheet please check
THE UNIVERSITY OF SYDNEY
Math1901 Differential Calculus (Advanced)
Semester 1
2015
Tutorial Week 8
(These preparatory questions should be attempted before the tutorial. Answers are provided at
the end of the sheet please check your work.)
1. The function
THE UNIVERSITY OF SYDNEY
Math1901 Differential Calculus (Advanced)
Semester 1
Tutorial Week 2
2015
1. (This question is a preparatory question and should be attempted before the tutorial.
Answers are provided at the end of the sheet please check your work
THE UNIVERSITY OF SYDNEY
Math1901 Differential Calculus (Advanced)
Semester 1
2015
Tutorial Week 6
(These preparatory questions should be attempted before the tutorial. Answers are provided at
the end of the sheet please check your work.)
1. Let f (x) = x
THE UNIVERSITY OF SYDNEY
Math1901 Differential Calculus (Advanced)
Semester 1
2015
Tutorial Week 5
1. (This question is a preparatory question and should be attempted before the tutorial. Answers are provided at the end of the sheet please check your work
THE UNIVERSITY OF SYDNEY
Math1901 Differential Calculus (Advanced)
Semester 1
Tutorial Week 4
2015
1. (This question is a preparatory question and should be attempted before the tutorial. Answers are provided at the end of the sheet please check your work
THE UNIVERSITY OF SYDNEY
Math1901 Differential Calculus (Advanced)
Semester 1
2015
Tutorial Week 10
(These preparatory questions should be attempted before the tutorial. Answers are provided at
the end of the sheet please check your work.)
1. Sketch the c
THE UNIVERSITY OF SYDNEY
Math1901 Differential Calculus (Advanced)
Semester 1
Tutorial Week 13
2015
1. (This question is a preparatory question and should be attempted before the tutorial. Answers are provided at the end of the sheet please check your wor
THE UNIVERSITY OF SYDNEY
Math1901 Differential Calculus (Advanced)
Semester 1
Tutorial Week 12
2015
1. (This question is a preparatory question Answers are provided at the end of the sheet
please check your work.)
Use an appropriate chain rule to nd:
dz
THE UNIVERSITY OF SYDNEY
Math1901 Differential Calculus (Advanced)
Semester 1
Tutorial Week 11
2015
1. (This question is a preparatory question and should be attempted before the tutorial. Answers are provided at the end of the sheet please check your wor
MAXIMA AND MINIMA:
-TURNING POINTS / POINTS OF INFLECTIONGRAPH OF A FUNCTION y=f(x)
-EXAMPLES:
1. The number of the newspaper copies distributed is given by
minimum number of copies distributed from 1995 to 2002.
= 50
200 + 10000, where t is in years. Fi