Use Newton's method to find the absolute maximum value of the function
f(x) = 3x sin x,

0 ≤ x ≤ π
correct to six decimal places.

I only need the answer instead of instructions because it's due in a couple minutes.

Question

Use Newton's method to find the absolute maximum value of the function 
f(x) = 3x sin x,
 
0 ≤ x ≤ π
 correct to six decimal places.

I only need the answer instead of instructions because it's due in a couple minutes.

anonymous · Answer

if you use newtons method to solve for the zero of the derivative, you will get something like $x=2.02876$

anonymous · Answer

plug that in for $x$ to get the max

anonymous · Answer

thanks but i need it in six decimal places

anonymous · Answer

you there? :O

anonymous · Answer

x=2.02875783811043

anonymous · Answer

take as many as you like

anonymous · Answer

thanks a lot. sorry for the bother.

anonymous · Answer

no problem, i cheated
took the derivative, asked wolfram to set it equal to zero and solve

anonymous · Answer

nice, hope it works.

anonymous · Answer

it should
picture showed it was just above 2

anonymous · Answer

http://www.wolframalpha.com/input/?i=+3xsin%28x%29+domain+0..pi

anonymous · Answer

set it equal zero here http://www.wolframalpha.com/input/?i=sin%28x%29%2Bxcos%28x%29%3D0 and picked the solution nearest 2

anonymous · Answer

thanks again. I got the answer correct!

anonymous · Answer

whew
don't you love wolfram?

anonymous · Answer

yup :D