Thread: Differentiate 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)

Originally Posted by Kiwigirl

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)

Hello,

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

Thanks earboth for your quick response I really appreciate it!