Homework Help: calculus

Posted by Yuri on Sunday, March 25, 2012 at 10:38pm.

1. Consider the function f(x) = X^(4/3) +4x^(1/3) on the interval -8 ≤ x ≤ 8.
a. Find the coordinate of all points at which the tangent to the curve is a horizontal line.
b. Find the coordinate s of all points at which the tangent to the curve is a vertical line.
c. Find the coordinates of the points at which the absolute maximum and absolute minimum occur.

No one has answered this question yet.

Answer this Question

Related Questions

Calculus - 1.Determine the maximum value of the function f(x)= 5^x -x^5 on the ...
Math - Consider the region defined by the inequalities: 0≤x 0&#...
New Age Math - Consider the region defined by the inequalities: 0≤x 0&...
Calculus - If m ≤ f(x) ≤ M for a ≤ x ≤ b...
Calculus - Consider the function f(x) = 5x^3 +5x^2 + 7, and let c be a number in...
Calculus - Consider the function f(x) = 5x^3 +5x^2 + 7, and let c be a number in...
Calculus - If m ≤ f(x) ≤ M for a ≤ x ≤ ...
calculus - In spherical coordinates, the inequalities 0≤ρ&...
calculus - 1. Consider the function f(x) = X^(4/3) +4x^(1/3) on the interval -8...
maths - Find the average value of f (x)= √(4x +1) over the interval 0...

For Further Reading

First Name:
School Subject:
Answer: