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Monotonicity and Extrema of a Cubic

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Monotonicity and Extrema of a Cubic

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Find increases, decreases and extrema.

Created by

Avinash
Avinash
Oman

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Monotonicity and Extrema of a Cubic
 

Monotonicity and Extrema of a CubicOnline version

Find increases, decreases and extrema.

by Avinash
1

Let f(x) = x^3 - 6x^2 + 9x + 2. Find intervals where f(x) is increasing and decreasing. Identify local extrema using the first derivative test.

2

Let f(x) = x^3 - 6x^2 + 9x + 2. Find the critical points.

Choose one or more answers

3

Let f(x) = x^3 - 6x^2 + 9x + 2. Find the increasing intervals.

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4

Let f(x) = x^3 - 6x^2 + 9x + 2. Find the decreasing intervals.

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5

Let f(x) = x^3 - 6x^2 + 9x + 2. Find the local extreme values.

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6

Let f(x) = x^3 - 6x^2 + 9x + 2. Find the points of inflection.

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7

Let f(x) = x^3 - 6x^2 + 9x + 2. The interval for concave up will be

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8

Let f(x) = x^3 - 6x^2 + 9x + 2. The interval for concave down will be

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9

Let f(x) = x^3 - 6x^2 + 9x + 2. Find the second derivative at critical point x = 1 and 3 and also check local maxima or minima at these points.

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