Math Problem Statement
Show that the function f: [1,4]→R defined by f(x) = x ^ 3 - 3x is an increasing function
Solution
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Calculus
Derivatives
Increasing Functions
Formulas
f'(x) = 3x^2 - 3
Theorems
First Derivative Test
Suitable Grade Level
Grades 11-12 or Early College
Related Recommendation
Prove the Function f(x) = x^3 - 3x is Increasing on [1,4]
Determining Intervals of Increase and Decrease for the Function f(x) = x^3 - 6x^2 + 9x + 1
Find Intervals of Increase and Decrease for f(x) = (1/3)x^3 - 2x^2 - 5x - 3
Proving Monotonicity of a Quadratic Function f(x) = x^2 + 2x + 4
Determine the Increasing Interval for the Quadratic Function x^2 + 2x + 1