Question 1

Find the relative extrema for f(x) = (x + 4)^-^1/5.

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Question 2

Find the relative extrema for f(x) = x⁸^/⁷ - 8x^-¹^/⁷.

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Question 3

Find the relative extrema for f(x) = x⁴ -12x² + 7.

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Question 4

Find the relative extrema for  .

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Question 5

Find all relative extrema of f(x) = x⁴^/⁷.

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Question 6

Find the relative extrema for f(x) = 2x + 2x²^/³.

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Question 7

Find all relative extrema of f(x) = 7x² - 28x + 9.

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Question 8

Find the relative extrema for  .

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Question 9

The derivative of a continuous function is  . Find all critical points and determine whether a relative maximum, relative minimum or neither occurs there.

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Question 10

Find the relative extrema for f(x) = 3x - sin 2x, 0 < x <  $\pi$.

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Question 11

Find the relative extrema for f(x) = 3x² - 12x + 8.

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Question 12

The derivative of a continuous function is f '(x) = 4(x -5)²(4x + 2). Find all critical points and determine whether a relative maximum, relative minimum or neither occurs there.

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Question 13

Find the relative extrema for  .

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Question 14

Find the relative extrema for f(x) = 12x^2/3 - 3x.

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Question 15

Find all relative extrema of f(x) = (x + 1)³.

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Question 16

Find the relative extrema for f(x) = 3x + cos 2x, 0 < x <  $\pi$.

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Question 17

Find the relative extrema for f(x) = x^2/3(3 - x).

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Question 18

Find the relative extrema for  .

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Question 19

Find all relative extrema of  .

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Question 20

Find all relative extrema of f(x) = (x + 2)² - 4.

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Quiz 4: The Derivative in Graphing and Applications

Find the relative extrema for f(x) = (x + 4)^-^1/5.

Find the relative extrema for f(x) = x⁸^/⁷ - 8x^-¹^/⁷.

Find the relative extrema for f(x) = x⁴ -12x² + 7.

Find the relative extrema for .

Find all relative extrema of f(x) = x⁴^/⁷.

Find the relative extrema for f(x) = 2x + 2x²^/³.

Find all relative extrema of f(x) = 7x² - 28x + 9.

Find the relative extrema for .

The derivative of a continuous function is . Find all critical points and determine whether a relative maximum, relative minimum or neither occurs there.

Find the relative extrema for f(x) = 3x - sin 2x, 0 < x < $\pi$ .

Find the relative extrema for f(x) = 3x² - 12x + 8.

The derivative of a continuous function is f '(x) = 4(x -5)²(4x + 2). Find all critical points and determine whether a relative maximum, relative minimum or neither occurs there.

Find the relative extrema for .

Find the relative extrema for f(x) = 12x^2/3 - 3x.

Find all relative extrema of f(x) = (x + 1)³.

Find the relative extrema for f(x) = 3x + cos 2x, 0 < x < $\pi$ .

Find the relative extrema for f(x) = x^2/3(3 - x).

Find the relative extrema for .

Find all relative extrema of .

Find all relative extrema of f(x) = (x + 2)² - 4.

Quiz 4: The Derivative in Graphing and Applications

Find the relative extrema for f(x) = (x + 4)-1/5.

Find the relative extrema for f(x) = x8/7 - 8x-1/7.

Find the relative extrema for f(x) = x4 -12x2 + 7.

Find the relative extrema for .

Find all relative extrema of f(x) = x4/7.

Find the relative extrema for f(x) = 2x + 2x2/3.

Find all relative extrema of f(x) = 7x2 - 28x + 9.

Find the relative extrema for .

The derivative of a continuous function is . Find all critical points and determine whether a relative maximum, relative minimum or neither occurs there.

Find the relative extrema for f(x) = 3x - sin 2x, 0 < x < π\piπ .

Find the relative extrema for f(x) = 3x2 - 12x + 8.

The derivative of a continuous function is f '(x) = 4(x -5)2(4x + 2). Find all critical points and determine whether a relative maximum, relative minimum or neither occurs there.

Find the relative extrema for .

Find the relative extrema for f(x) = 12x2/3 - 3x.

Find all relative extrema of f(x) = (x + 1)3.

Find the relative extrema for f(x) = 3x + cos 2x, 0 < x < π\piπ .

Find the relative extrema for f(x) = x2/3(3 - x).

Find the relative extrema for .

Find all relative extrema of .

Find all relative extrema of f(x) = (x + 2)2 - 4.

Find the relative extrema for f(x) = (x + 4)^-^1/5.

Find the relative extrema for f(x) = x⁸^/⁷ - 8x^-¹^/⁷.

Find the relative extrema for f(x) = x⁴ -12x² + 7.

Find all relative extrema of f(x) = x⁴^/⁷.

Find the relative extrema for f(x) = 2x + 2x²^/³.

Find all relative extrema of f(x) = 7x² - 28x + 9.

Find the relative extrema for f(x) = 3x - sin 2x, 0 < x < $\pi$ .

Find the relative extrema for f(x) = 3x² - 12x + 8.

The derivative of a continuous function is f '(x) = 4(x -5)²(4x + 2). Find all critical points and determine whether a relative maximum, relative minimum or neither occurs there.

Find the relative extrema for f(x) = 12x^2/3 - 3x.

Find all relative extrema of f(x) = (x + 1)³.

Find the relative extrema for f(x) = 3x + cos 2x, 0 < x < $\pi$ .

Find the relative extrema for f(x) = x^2/3(3 - x).

Find all relative extrema of f(x) = (x + 2)² - 4.