# Calc

How do you take the derivative of 9000/(1+.3t+.1t^2)?

1. 👍 0
2. 👎 0
3. 👁 24
1. Now I am going to have to use the table formulas because this is getting to be too much to do from scratch. You can take the constant 9000 outside immediately

The basic rule for this is
d/dx( u/v) = [v du/dx - u dv/dx] / v^2
or the way to remember it is
[bottom derivative of top - top derivative of bottom]/bottom squared

here we have for
9000 d/dt [1/(1 +.3 t + .1t^2)]=

9000 [ 0 - 1 (d/dt (1+.3t+.1t^2) )]/(1+.3t+.1t^2)^2

which is
9000[ -.3 +.2t ] /(1 +.3t +.1t^2)^2

I can not do a lot more with this. I hope this is part of some problem where you have a value for t

1. 👍 0
2. 👎 0
posted by Damon
2. write it as 9000(1+.3t+.1t^2)^(-1)

then derivative = -9000(1+.3t+.1t^2)^(-2)(.3+.2t)
=-9000(.3+.2t)/(1+.3t+.1t^2)^2

1. 👍 0
2. 👎 0
posted by Reiny

## Similar Questions

1. ### Finance

Mary needs \$9000 in 7 years. What amount can she deposit at the end of each quarter at 6% interest compounded quarterly so she will have her \$9000?

asked by Lacey on October 20, 2010
2. ### Calculus--> bobpursley

How do you get m=0? from taking the second derivative? does c=1? Can you check my work on how I get the derivative of R=M^2(c/2-m/3) NEXT R=1/2(CM^2)-1/3(M^3) NEXT dR/dM=CM-M^2. I checked in the back, and that was the answer for

asked by Anonymous on May 30, 2007
3. ### accounting

Notified by Alex's Engineering Co that Success's bid of \$9000 on a proposed project has been accepted. Alex's paid a \$2500 cash advance to success systems. My question is how am i going to put or write this transaction on journal

asked by anonymous on February 16, 2011
4. ### Math

What is the approximate percentile rank of a lightbulb that failed at 9000 hours if the number of lightbulbs is 400? The number of lightbulbs that lasted between 5400 and 9000 were about 326 lightbulbs. The mean is 7800 and the

asked by alice on December 5, 2012
5. ### Calculus

R=M^2(c/2-m/3) dR/dM=CM-M^2 I found the derivative. Now how would I find the vale of M that maximize the derivative dR/dM? set it to zero, and solve for m. You get two solutions. Use the second derivative to see which one is the

asked by Anonymous on May 29, 2007
6. ### calc

derivative of (x^3/6)+(1/2x)? i got (x^2/2)-(1/2x^2) is that correct? and then wut is the (F'(x))2?...meaning the derivative squred? if you meant (1/2)x^2 - 1/(2x^2) you are correct I don't think they are looking for the square of

asked by MARY on May 6, 2007
7. ### Differentiation

Again, that all makes sense. Thank you very much. Thank you very much. I did get the derivative you show, but then divided through by 6 to get at the stationary points. Was that wrong? I'm only looking for a critique please, not

asked by CharlieGolf on June 20, 2007
8. ### Calculus (Help)

Also I would like to know how to set this problem up in finding the answer: Find the second derivative. y= sqrt(3x+4) Thanks, P.S. I tried taking 3x+4 and squaring it to the 1/2. I thought that might've been the same, then I took

asked by Confused on February 21, 2007
9. ### math

Let f be a real value function and x Î Df then 0 lim ( ) ( ) h f x h f x ® h + - when it exists is called A) The derivative of f at a B) The derivative of f at h C) The derivative of f at x D) The derivative of f at x = h

asked by Zaheer on November 2, 2012
10. ### calculus

Find the first and second derivative - simplify your answer. y=x/4x+1 I solved the first derivative and got 1/(4x+1)^2 Not sure if I did the first derivative right and not sure how to do the second derivative.

asked by Janet on March 16, 2011

More Similar Questions