# elements of calculus

find ds/dt if s= sqaureroot of t over (3t -1)

asked by tara
1. Using the quotient rule:

s = √t / (3t-1)

s' = [1/(2√t) * (3t-1) - √t(3)]/(3t-1)^2
= [(3t-1)/(2√t) - 3√t]/(3t-2)^2
= [3t-1 - 6t]/[2√t (3t-2)^2]
= -(3t+1)/[2√t (3t-2)^2]

or, using the product rule:

s = √t * (3t-1)^-1

s' = 1/(2√t) * (3t-1)^-1 - 3√t * (3t-1)^-2

posted by Steve

## Similar Questions

1. ### math

how many solutions does the equation -2cosX = sqaureroot(X) have?
2. ### Pre-Calculus

Hello! I need help with these 2 questions: 1.) Describe how the graphs of f(x) = |2x| and g(x) = -|2x| are related. a.) All of these. b.) The graph of g(x) is a reflection of the graph of f(x) over the y-axis. c.) Non of these.
3. ### Pre-Calc

1.) If you use the parent graph y=sqaureroot of x as a reference, how would you graph y=sqaureroot of x+2+5? a.) Move the parent graph two units to the right and then up five units. b.) Move the parent graph two units to the left
4. ### complex numbers!

-2-2i in polar form = 2.8 cis 2.35?? -3+4i polar form = 5 cis 2.2??? 1 - sqaureroot(3i) polar form = 2 cis 1.04?? What is cis? never mind I have the right answers. polar form z = r (cos O + i sin O ) is also written in an
5. ### MATH HELP

3. If a number is not a rational number, then it is _____. (1 point) an integer an irrational number a whole number a radical*** 4.Mrs. Clarkson designed a rectangular garden with a length of 15 meters and a width of 8 meters. She
6. ### Pre-Alegebra

3. If a number is not a rational number, then it is _____. (1 point) an integer an irrational number a whole number a radical*** 4.Mrs. Clarkson designed a rectangular garden with a length of 15 meters and a width of 8 meters. She
7. ### Math

3. If a number is not a rational number, then it is _____. (1 point) an integer an irrational number**** A whole number a radical 4.Mrs. Clarkson designed a rectangular garden with a length of 15 meters and a width of 8 meters.
8. ### Math

Post a New QuestionCurrent Questions Homework Help: Math Posted by Anonymous on Wednesday, November 11, 2015 at 7:08pm. 3. If a number is not a rational number, then it is _____. (1 point) an integer an irrational number**** A
9. ### Algebra1

Please let me know if these are correct. 1. Find: 10% of 30 3 2. Find: 10% of 100 10 3. Find: 20% of 50 10 4. Find: 20% of 100 20 5. Find: 50% of 50 25 6. Find: 150% of 300 450 7. Find: 15% of 56 8.4 8. Find: 27% of 92 24.84 9.
10. ### maths

For the following graph: a. Find the domain of f. b. Find the range of f. c. Find the x-intercepts. d. Find the y-intercept. e. Find the intervals over which f is increasing. f. Find the intervals over which f is decreasing. g.

More Similar Questions