Calculus IConsider the function f (x) = x³ -12x^2 + 36x = x (x-6)^2 to answer the following questions. 1. Interval where f is concave down2. The intervals where f is decreasing3. Inflection point4. Interval where f is concave up5. Local maximum6. The intervals where f is increasing7. Local minimum Considere la función f(x)= x³-12x² + 36x = x(x − 6)² para contestar las siguientes preguntas.Los intervalos donde f es decrecienteLos intervalos donde f es crecienteMáximo localIntervalo donde f es cóncava haca arribaMínimo localIntervalo donde f es cóncava haca abajoPunto de inflexiónChoose...Choose...Choose...Choose...Choose...Choose... ◆Choose... ◆

Answered: Image /qna-images/answer/a7a45865-586f-4d5d-8556-6cec67ec7d29.jpg

Consider the function f (x) = x³ -12x^2 + 36x = x (x-6)^2 to answer the following questions. 1. Interval where f is concave down 2. The intervals where f is decreasing 3. Inflection point 4. Interval where f is concave up 5. Local maximum 6. The intervals where f is increasing 7. Local minimum

Consider the function f (x) = x³ -12x^2 + 36x = x (x-6)^2 to answer the following questions. 1. Interval where f is concave down 2. The intervals where f is decreasing 3. Inflection point 4. Interval where f is concave up 5. Local maximum 6. The intervals where f is increasing 7. Local minimum

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter4: Polynomial And Rational Functions

Section4.5: Rational Functions

Problem 54E

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Question

Calculus I

Consider the function f (x) = x³ -12x^2 + 36x = x (x-6)^2 to answer the following questions.

1. Interval where f is concave down

2. The intervals where f is decreasing

3. Inflection point

4. Interval where f is concave up

5. Local maximum

6. The intervals where f is increasing

7. Local minimum

Considere la función f(x)= x³-12x² + 36x = x(x − 6)² para contestar las siguientes preguntas.
Los intervalos donde f es decreciente
Los intervalos donde f es creciente
Máximo local
Intervalo donde f es cóncava haca arriba
Mínimo local
Intervalo donde f es cóncava haca abajo
Punto de inflexión
Choose...
Choose...
Choose...
Choose...
Choose...
Choose... ◆
Choose... ◆

Formula Formula A function f ( x ) is also said to have attained a local minimum at x = a , if there exists a neighborhood ( a − δ , a + δ ) of a such that, f ( x ) > f ( a ) , ∀ x ∈ ( a − δ , a + δ ) , x ≠ a f ( x ) − f ( a ) > 0 , ∀ x ∈ ( a − δ , a + δ ) , x ≠ a In such a case f ( a ) is called the local minimum value of f ( x ) at x = a .

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