Assignment 5: Math 1170_3

Chapter 12: Additional Differentiation Topics

Due Date: October 25 (62 marks total)

1. Differentiate the following functions (2 marks each):

a. ! = $√"

b. %(') = #!$#"!"#

c. ! = %& ##!

d. ! = ln( '"()"#$*"(+)

e. +(') = ln(√"$,"√"$ )

2. Differentiate using implicate differentiate (4 marks each):

a. '+ + 2'! + !+ = 4

b. ''!' = 3

c. !+$-./" = $+

3. Differentiate using logarithmic differentiation (4 marks each):

a. ! = (' + 3)./"

b. ! = ("#$1)%#("#$+)

%$

(+"$$3")#&

c. ! = '("!)