# At what value of x is g(x) increasing most rapidly?

Not what you're looking for?

Let f(x) = 5 + 6x + 12x^2 - 2x^3 - x^4 and let g(x) = f(x) for any real number x. At what value of x is g(x) increasing most rapidly?

##### Purchase this Solution

##### Solution Summary

A double derivative is used to find the value of x where g(x) is increasing most rapidly.

##### Solution Preview

f(x)=5+6x+12x^2-2x^3-x^4.

Then f'(x)=6+24x-6x^2-4x^3

To find the ...

##### Purchase this Solution

##### Free BrainMass Quizzes

##### Exponential Expressions

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

##### Geometry - Real Life Application Problems

Understanding of how geometry applies to in real-world contexts

##### Solving quadratic inequalities

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

##### Graphs and Functions

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

##### Multiplying Complex Numbers

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