Purchase Solution

Classify each critical point as a relative minimum, maximum, or neither.

Not what you're looking for?

Ask Custom Question

Determine the intervals on which the following functions are increasing and decreasing and classify each of the critical points as a relative minimum, a relative maximum, or neither one.

A) f(x)=3/4x^4+4x^3+6x^2+48

B) g(x)=x^6-6x^5-21x^4

Purchase this Solution

Solution Summary

In this solution we determine if the following functions are increasing of decreasing and classify each of the critical points as either relative minimum, maximum or neither.

Solution Preview

(1) f(x) = 3/4x^4 + 4x^3 + 6x^2 + 48
By taking the derivative, f'(x) = 3x^3 + 12x^2 + 12x = 3x(x^2 + 4x + 4) = 3x(x + 2)^2
Setting f'(x) = 0 to get two critical points: x = 0 or x = -2.
Hence, f(x) is increasing when x > 0 ...

Purchase this Solution


Free BrainMass Quizzes
Graphs and Functions

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

Solving quadratic inequalities

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

Probability Quiz

Some questions on probability

Know Your Linear Equations

Each question is a choice-summary multiple choice question that will present you with a linear equation and then make 4 statements about that equation. You must determine which of the 4 statements are true (if any) in regards to the equation.

Geometry - Real Life Application Problems

Understanding of how geometry applies to in real-world contexts