Knowee
Questions
Features
Study Tools

for each case find the intervals of concavity. a) f(x) = x^4 - 6x^2 b) f(x) = (x^2 - 1)^3

Question

for each case find the intervals of concavity. a) f(x) = x^4 - 6x^2 b) f(x) = (x^2 - 1)^3
🧐 Not the exact question you are looking for?Go ask a question

Solution 1

Sure, let's find the intervals of concavity for each case.

a) f(x) = x^4 - 6x^2

Step 1: Find the second derivative of the function. The first derivative of f(x) is f'(x) = 4x^3 - 12x. The second derivative is f''(x) = 12x^2 - 12.

Step 2: Set the second derivative equal to zero and solve for x. Th Knowee AI is a powerful AI-powered study tool designed to help you to solve study problem.

Knowee AI  is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI  is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI  is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI  is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI

This problem has been solved

Similar Questions

for each case, find the ARC over the given interval. a) f(x) = x^4 - x^3 + x^2, [-1,1] b) f(x) = (2x - 1)/(2x + 1), [0,2]

Given f, of, x, equals, minus, 3, x, squared, plus, 6, x, plus, 1f(x)=−3x 2 +6x+1, find f, of, 6f(6)

Find the inverse of the following functions.(a) f (x) = 4x+13x−2(b) f (x) = (x − 2)3(c) f (x) = √x + 5(d) f (x) = 3x − 1

Question: Evaluate the following integral: ∫(x^3 + 2x^2 + 3x + 4) / (x^4 + 4x^3 + 6x^2 + 4x + 1) dx solve it

Find f.f '''(x) = cos(x),    f(0) = 2,    f '(0) = 6,    f ''(0) = 5f(x) = 6x+1+cos(x)

1/3

Upgrade your grade with Knowee

Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.