Posted by Steff on Wednesday, June 15, 2011 at 8:26am.
This is what I have so far...
Am struggling to get this in factored form. Am working on a multiple choice take home test and nothing I am getting matches.
- derivative calculus - Jai, Wednesday, June 15, 2011 at 8:40am
the derivative you got is correct.
by distributing, we can further simplify this into:
32t + 8t^(3/2) + 2t^(3/2) - (5/2)t^(-1/2)
10t^(3/2) + 32t - (5/2)t^(-1/2)
hope this helps~ :)
- derivative calculus - Reiny, Wednesday, June 15, 2011 at 8:42am
why don't we expand this ... and simplify to get
32t + 10t^(3/2) - (5/2)t^(-1/2)
= 32t + 10t√t - 5/(2√t)
Since I don't know what your choices are, I don't know in which direction to go from here.
Here is a good trick to see if your answer is the same as theirs.
Pick any point on the original
e.g. let t = 1
f(1) = 5(4-5) = -5
so sub in t = 1 into our derivative answer to get
32(1) + 10(1)(1) - 5/(2(1)) = 39.5
Any of the choices not giving you 39.5 would be incorrect.
- derivative calculus - Steff, Wednesday, June 15, 2011 at 8:50am
Here are my options
a) 10t^2+32t√t - 5 / √t
b) 20t^2-64t√t - 5 / 2√t
c) 20t^2+ 32t√t - 5 / 2√t
d) 20t^2+64t√t - 5 / 2√t
e) 10t^2-32t√t - 5 / √t
- Multiple choice options - Steff, Wednesday, June 15, 2011 at 9:11am
- derivative calculus - Reiny, Wednesday, June 15, 2011 at 10:22am
If c) is written as
(20t^2 + 32t√t - 5)/(2√t) it would be same as my answer.
The formed a common denominator
the way you typed it, only the -5 would be divided by 2√t
- derivative calculus - Steff, Wednesday, June 15, 2011 at 10:31am
Thanks. I see my mistake now.
Answer This Question
More Related Questions
- Math - Find an equation of the line that bisects the obtuse angles formed by the...
- 8th grade algebra - Can you check my answers? 1. 3√20/√4 = 3√(...
- Algebra 2 - Can someone help me with this radical expression please? The problem...
- Math(I Don't Get THIS!!) - 15sqrt8x^16/5sqrt2x^4 *I totally need help with this ...
- Algebra - Simplify the expressions and solve the equations 1. 2√3 - √...
- Math help Ms. Sue please - 1. What is the simplified form of the expression? 7m^...
- Algebra - How would i complete these problems? 1. (√6mn)^5 2. ^3√16x...
- maths - I will be thankfull to you if you help me to solve the below problem: 6...
- algebra 1 - alright i have a few questions if its ok..? Simplify: 1. -2√(...
- Calculus - y=(√x)/((√x)+1) Find the concavity and point of ...