Calculus

Use a symbolic differentiation utility to find the derivative of the function g(x)=xã((x^2)+1). Use the utility to graph the function and is derivative on the same set of coordinate axes. Describe the behavior of the function that corresponds to any zeroes of the graph of the derivative.

Please show work, and if you cannot display a graph in your answer, please provide the derivative asked in the first part of the question so I have a foundation to start with. Thanks in advance!

asked by Jon
  1. Sorry, that's x times square root of ((x^2)+1)

    posted by Jon
  2. f(x) = x(x^2 + 1)^(1/2)
    f'(x) = (x)(1/2)(x^2+1)^(-1/2)(2x) + (1)(x^2+1)^(1/2)
    f'(x) = (x^2)(x^2+1)^(-1/2) + (x^2+1)^(1/2)

    posted by Raj

Respond to this Question

First Name

Your Response

Similar Questions

  1. marketing

    how are: goods services utility form utility place utility time utility possession utility information utility benifits and occupational area ralated to marketing the deffinition for it is: the prosses o developing, promotng, and
  2. Micro Economics

    Briefly explain the following: (a)Economic cost and accounting cost. (b)Free market economy and mixed economy. (c)Marginal utility theory and indifference curves analysis. Please note that we don't do students' homework for them.
  3. Indifference Curves

    For each example below, draw a set of three indifference curves that represent the given preferences. Be certain to show the direction of increasing utility. Also write down a utility function that would be consistent with the
  4. economics

    Suppose a person has a utility function U=YX. What is the minimum level of income required to get a utility of 20? Your answer should be a function of, among other things, Px and Py.
  5. microeconomics

    Suppose a person has a utility function U=YX. What is the minimum level of income required to get a utility of 20? Your answer should be a function of, among other things, Px and Py.
  6. microeconomics

    This week you have gone to two parties. Assume the total utility you gained from these parties is 100utils. Then you go to a third party, and your total utility rises to 110utils. What is the marginal utility of the third party
  7. statistics

    the average yearly utility costs on Middleton is $1722 with stdev of 146. assume that the utility costs follow a normal distribution. 1) What would the utility costs have to be so that only 7% of houses in Middleton have utility
  8. Micro econ

    1: Suppose John had a utility function of U=X^2/3Y^1/3 . Derive Johns demand function from his utility function showing all the necessary steps. i know that the MUx=MUy and first i derive the equation to 2/3X^-1/3 1/3Y^-2/3 then
  9. economics

    1.. Suppose that U(x; y) = min(x; y) with px = 1 and py = 1. Describe and illustrate the income and substitution effects of an increase in the price of good y. What does this imply about a tax imposed on good y.. 2.. Let U(x; y) =
  10. precalculus

    Use the Intermediate Value Theorem and a graphing utility to find intervals of length 1 in which the polynomial is guaranteed to have a zero. Use the root feature of a graphing utility to approximate the zeros of the function.

More Similar Questions