• Support PF! Buy your school textbooks, materials and every day products via PF Here!

F(t) = square root of 3t+2 / 4t-3

  • Thread starter kim
  • Start date

kim

1
0
Need to find the derivative of:

f(t) = square root of 3t+2 / 4t-3

please help.
 

Hurkyl

Staff Emeritus
Science Advisor
Gold Member
14,845
17
What have you tried?
 
208
0
is this sqrt{3t+2 / 4t-3} or sqrt{3t+2} / 4t-3
 
732
0
Well, decide whether
is this sqrt{3t+2 / 4t-3} or sqrt{3t+2} / 4t-3
And the Quotient Rule will help you solve this problem~!:smile:!
[tex] \frac{d}{{dt}}\left[ {\frac{{f\left( t \right)}}{{g\left( t \right)}}} \right] = \frac{{f'\left( t \right)g\left( t \right) - f\left( t \right)g'\left( t \right)}}{{\left[ {g\left( t \right)} \right]^2 }} [/tex]
 
Last edited:
788
0
Or the product rule... :)

[tex]\sqrt{3t+2}*(4t-3)^{-1}[/tex]
 
9
0
or do implicit differentiation:
let y = sqrt(3t + 2)/(4t-3)
and then (4t-3)y = sqrt(3t+2)
 
788
0
Well, touche then. I'll think of something more clever later...
 
9
0
while you are thinking of something else...here's another idea:
logarithmic differentiation
lny = (1/2)ln(3t+2) - ln(4t-1)
 

Related Threads for: F(t) = square root of 3t+2 / 4t-3

Replies
10
Views
2K
  • Posted
Replies
13
Views
7K
Replies
4
Views
15K
  • Posted
Replies
1
Views
3K
  • Posted
Replies
4
Views
2K
Replies
14
Views
414
  • Posted
Replies
7
Views
3K
  • Posted
Replies
10
Views
5K

Physics Forums Values

We Value Quality
• Topics based on mainstream science
• Proper English grammar and spelling
We Value Civility
• Positive and compassionate attitudes
• Patience while debating
We Value Productivity
• Disciplined to remain on-topic
• Recognition of own weaknesses
• Solo and co-op problem solving
Top