Purchase Solution

Exponential function and critical points

Not what you're looking for?

Ask Custom Question

Let f (x) = e^x/x^2 . Find all critical points of f (x) and classify them as maximums or minimums. State the intervals where f (x) is increasing and decreasing.

Please show graph or work (pref. derivative).

Purchase this Solution
Solution Summary

This shows how to find critical points of an exponential function. The expert finds all critical points and classifies them as maximums or minimums. The intervals of increase or decrease are stated.

Purchase this Solution
Free BrainMass Quizzes
Solving quadratic inequalities

This quiz test you on how well you are familiar with solving quadratic inequalities.

Multiplying Complex Numbers

This is a short quiz to check your understanding of multiplication of complex numbers in rectangular form.

Graphs and Functions

This quiz helps you easily identify a function and test your understanding of ranges, domains , function inverses and transformations.

Exponential Expressions

In this quiz, you will have a chance to practice basic terminology of exponential expressions and how to evaluate them.

Probability Quiz

Some questions on probability

View More Free Quizzes
Related BrainMass Solutions

  • Explanation of how to find the tangent line to a circle

    Decreasing means f'(x) <0 probably should use exponential form for the limits ii) limits would be found best using the exponential version of cotanh x and maybe l'hopital's rule, if necessary.

  • Finding the Equation of the Exponential Functions

    And find a equation of the linear function y=f(x) for the same points. A) let the standard form of exponential function be y=a*b^x. Then plug (0,5) and (3,9) to get 5=a*b^0 and 9=a*b^3. So a=5 and b=(1.8)^(1/3).

  • Exponential and Logarithmic Functions

    152397 Exponential and Logarithmic Functions 1. An example of an exponential function is y=8^x. Convert this exponential function to a logarithmic function. Plot the graph of both the functions. 2. Graph these two functions ?

  • Exponential and Logarithmic Functions and Characteristics

    In your response include the following points: General form of the function: exponential and logarithmic One example each of exponential and logarithmic function Characteristics of the graphical representation of each function (Minimum four characteristics

  • Exponential and Logarithmic Functions

    In your response include the following points: General form of the function: exponential and logarithmic One example each of exponential and logarithmic function Characteristics of the graphical representation of each function (Minimum four

  • Range of exponential functions

    Also note that the exponential function is monotonous increasing in all the interval so it does not have any minima or maxima points.

  • Exponential Functions and their Inverse and Graphs

    For the exponential function ex and logarithmic function log x, graphically show the effect if x is doubled.

  • Finding equations that represent exponential functions

    563770 Finding equations that represent exponential functions Write an equation using the following information: Each represents an exponential function with base 2 or 3 translated and/or reflected 1) (-3,0), (-2,1), (0,7) Equation of horizontal

  • Exponential growth word problem

    Use the data points (0,20) and (21,37) to find the exponential growth rate and fit an exponential growth function P(t)=Poe^kt to the data, where P(t) is the cost of first-class postage, in cents, t years after 1981.

View More Related Solutions