Calculus
posted by Jessica .
Determine the absolute extreme values of f(x)=4√x 2x on the interval [1,4]
I found the derivative of f(x)=4√x 2x
f'(x)=2/x^(1/2)  2

I have no idea what to do now.

Calculus 
john
Since you have found your derivative you then need to move on and find its critical values(where the derivative equals zero). Then if those numbers are within the interval [1,4] you must also plug those into your orignal function. If they do not, then they should be disreguarded and thrown out
F(1)= 2/(1^(1/2)2=0 giving you the point (1,0) which is your max
F(4)= plug the 4 into your x value for your derivative and you should get 1
Respond to this Question
Similar Questions

Math(I Don't Get THIS!!)
15sqrt8x^16/5sqrt2x^4 *I totally need help with this one!Please help me.! I'm going to assume your problem is this: 15√(8x^16) / 5√(2x^4) You can start by simplifying what's outside the square root sign. 15/5 reduces to … 
Algebra
How would i complete these problems? 1. (√6mn)^5 2. ^3√16x  ^3√2x^4 3.^4√x • ^3√2x 4. ^3√72x^8 5. √63a^5b • √27a^6b^4 and are these problems correct? 
Math
Find an equation of the line that bisects the obtuse angles formed by the lines with equations 3xy=1 and x+y=2. a. (3√2 +√10)x(√10 + √2)y2√10+√2=0 b. (3√2  √10)x+(√10  √2)y+2√10+√2=0 … 
algebra 1
alright i have a few questions if its ok..? 
maths
I will be thankfull to you if you help me to solve the below problem: 6√x11/3√x=2√x+1/√x+6 I tried to solve the above problem like this: (6√x11)(√x+6)=(3√x)(2√x+1) 6√x(√x+6)11(√x+6)=(3√x)(2√x)+(3√x)(1) … 
Math
Determine the exact value of cos 465 degrees a) √3 + √2/2 b) √2 + √3√2/4 c)√2  √3√2/4 d)2+√2√3√2/4 
Precalculus
Determine the exact value of cos 465 degrees a) √3 + √2/2 b) √2 + √3√2/4 c)√2  √3√2/4 d)2+√2√3√2/4 
8th grade algebra
Can you check my answers? 1. 3√20/√4 = 3√(5)(4)/2 = 3(2)√5/2 = 3√5 2. 4√15/√9 = 4√15/3 3. √12/√16 = √4(3)/4 = 2√3/4 = √3/2 4. √10/√5 = √2 
Algebra
1. Simplify the expression: 4√18+5√32 A.45√2 B.32√2 C.116√2 D.9√50 2. Simplify the expression: 7√53√80 A.5√5 B.4√75 C.5 D.4√75 3. Simplify the expression: √21(√3+√14) … 
Algebra  Check My Work
For Question 18 Simplify the Radical Expression ***  My Answer 1.√45 3√5*** 2.√180x^2 6x√5*** 3.√150x^3 k^4 5xk^2√6x*** 4.√21y * 5√49y 35y√21*** 5.(The square root sign applies …