Posted by pipi on Thursday, November 6, 2008 at 8:27pm.
Find the (a) the local extrema, (b) the intervals on which the function is increasing, (c) the interval on which the function is decreasing
h(x)=2/x

high school calculas  Reiny, Thursday, November 6, 2008 at 8:59pm
h'(x) = 2/x^2
a function is increasing when its first derivative is positive, and
a function is decreasing when its first derivative is negative.
now look at our derivative, notice the bottom is a square of x, so no matter what you put in, the result will be positive, and this is divided into 2.
so what result will we get??
also notice that both the original and the derivative are undefined for x=0
Answer This Question
Related Questions
 Calulus  Consider the function y = 2x^33x^2+9x+5. 1. Find where the function ...
 Calc  f(x) = x^2 / (x  7)^2 (a) Find the vertical and horizontal asymptotes. x...
 Calculus (urgent!!)  Please answer the following questions about the function f...
 Calculus (pleas help!!!)  Please answer the following questions about the ...
 Calculus (pleas help!!!)  Please answer the following questions about the ...
 math calculus  Find the intervals on which the function f(x)=x²/³(10x) is ...
 calc  Consider the function below. (Round the answers to two decimal places. f(...
 calculus  6) The function f(x)=4x3−18x2−480x−2 is decreasing ...
 Calc 1  Consider the function below. f(x) = (x^2)/(x−9)^2 (a) Find the ...
 Math  For y= (3x)/(2e^x+e^1), use graphing techniques to find the approximate ...
More Related Questions