1. Find dy/dx for each of the following. (You do not need to simplify your answers)

a) y = loge 3x + 8x³

b) y = e^x cosec x

c) y = e^4x+3/4x + 3

d) y = ³√2x - 1

2. If g(x) = 7x³ - 2x² + 4x - 8 find the third derivative g'''(x)

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- April 10th 2006, 03:02 PMKiwigirlDifferentiate functions
1. Find dy/dx for each of the following. (You do not need to simplify your answers)

a) y = loge 3x + 8x³

b) y = e^x cosec x

c) y = e^4x+3/4x + 3

d) y = ³√2x - 1

2. If g(x) = 7x³ - 2x² + 4x - 8 find the third derivative g'''(x) - April 10th 2006, 11:35 PMearbothQuote:

Originally Posted by**Kiwigirl**

with most of your problems you have to use the chain rule. With b) I used the quotient rule and with c) you have to controle if I wrote the function correctly:

to a):

to b):

to c):

to d):

To 2.: You have a function of grade 3. You want to get the third derivative. That must be a constant. So g'''(x)=3!*7=42.

Greetings

EB - April 12th 2006, 01:31 PMKiwigirl
Thanks earboth for your quick response :) I really appreciate it!