math/ calculus
posted by Angie .
full work out with explanation of this problem please we're working with derivatives and i don't understand it
given h(x)= cotx/x find h'(pi/2)

h = f/g so
h' = (f'g  fg')/g^2
h'(x) = [x csc^2(x) + cot(x)]/x^2
h'(pi/2) = [pi/2 * 1 + 0]/(pi^2 / 4)
=  2/pi
Respond to this Question
Similar Questions

calculus
from the equation: x^4  i = 0 x^4 = i how do you get: The solutions are the fourth roots of i = cos(pi/2) + isin(pi/2) I don't understand how you get pi/2? 
Math Still Don't Understand!
I do not understand how to work this problem out. I have a series of other questions that are similar, and it would really help me out if someone could help me understand how to work this problem. At the first tricity meeting, there … 
math question
I am trying to study for a basic math entrance exam and can not recall how to work out the following question. Here it is: Three people who work full time are to work together on a project,but their total time on the project is to … 
Calculus
Hi~ Thank you for your help! I was trying to work on a problem about Taylor series, but i don't think im approaching the problem the right way. I have to find the fifth order Taylor polynomial and Taylor series for the function f(x) … 
calculus
Quadratic function written in standard form where a, b, and c are constants such that a is not zero. f(x)= ax^2+bx+c Using calculus find the vertex of the parabola formed by this quadratic function. Determine under what conditions … 
Derivatives
Find the derivatives of: 1. H(x)= sin2xcos2x The answer given is 2cos4x. My question is, how in the world did they get that!? 
Calculus
A curve is defined by the parametric equations: x = t2 – t and y = t3 – 3t Find the coordinates of the point(s) on the curve for which the normal to the curve is parallel to the yaxis. You must use calculus and clearly show your … 
Calculus
Hello, I really need help on these two homework problem. >< In problem #1, I believe it is related to the exponential functions and their derivatives section...in Calculus II? 
math
Given that a:b = 8:5 and b:c= 3:4 find the ratio a:b:c Give your answer in its simplest form. Show all working out. My work: 1) 5 and 3 both equal to b. 2) 8+5=13/2= 11.5 3)3+4=7/2=3.5 4)11.5+3.5= 15 All my working shown I dont understand … 
math
Find the derivatives of the following functions. 1.F (x)cotx 2.f (x)=sin (x2+2)