Question 1

f(x) = 2x⁵ + 10. Find the points of inflection

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Question 2

Find the relative extrema for f(x) = 9x^2/3 - 4x.

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Question 3

Sketch a continuous curve y = f(x) for x > 0 if  = 0, and f '(x) =  for all x > 0. Is the curve concave up or concave down?

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Question 4

Find the relative extrema for f(x) = x^2/3(6 - x).

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Question 5

Find the relative extrema for  .

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Question 6

Find the relative extrema for  .

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Question 7

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 8

If f(x) = sin 2x (0,  $\pi$), find the intervals where f is concave up and where f is concave down.

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Question 9

If f(x) = x⁵- 2x + 4. Find the points of inflection.

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Question 10

Find the relative extrema for f(x) = 2x⁵ - 3x⁴.

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Question 11

f(x) = 2 sin 4x. Find the points of inflection on [0,  $\pi$/2].

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Question 12

Find the relative extrema for f(x) = 4x² - 8x + 3.

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Question 13

Sketch a continuous curve having the following properties. f(-5) = 10, f(0) = 5, f(5) = 0, f'(x) > 0 for |x| > 5, f'(-5) = f'(5) = 0, f'(x) < 0 for x < 0, f'(x) > 0 for x > 0.

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Question 14

Find the relative extrema for  .

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Question 15

Find the relative extrema for f(x) = 3x + 3x⁴^/⁵.

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Question 16

Find the relative extrema for f(x) = x¹⁰^/⁹ -10x^-1^/⁹.

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Question 17

f(x) = cos 4x. Find the points of inflection on [0, $\pi$/2].

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Question 18

Find the relative extrema for  .

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Question 19

The derivative of a continuous function is f '(x) = 4(x -7)²(4x + 4). Find all critical points and determine whether a relative maximum, relative minimum or neither occurs there.

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The answer of The derivative of a continuous function is...

Question 20

Sketch a continuous curve having the following properties.
f(0) = 4, f(-2) = f(2) = 0; f '(x) > 0 for (-$\infty$,0) and f '(x) < 0 for (0, +$\infty$), f'(x) < 0 for (-$\infty$, +$\infty$).

Accepted Answer

The answer of Sketch a continuous curve having the following...

Quiz 4: The Derivative in Graphing and Applications

f(x) = 2x⁵ + 10. Find the points of inflection

Find the relative extrema for f(x) = 9x^2/3 - 4x.

Sketch a continuous curve y = f(x) for x > 0 if = 0, and f '(x) = for all x > 0. Is the curve concave up or concave down?

Find the relative extrema for f(x) = x^2/3(6 - x).

Find the relative extrema for .

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.

If f(x) = sin 2x (0, $\pi$ ), find the intervals where f is concave up and where f is concave down.

If f(x) = x⁵- 2x + 4. Find the points of inflection.

Find the relative extrema for f(x) = 2x⁵ - 3x⁴.

f(x) = 2 sin 4x. Find the points of inflection on [0, $\pi$ /2].

Find the relative extrema for f(x) = 4x² - 8x + 3.

Sketch a continuous curve having the following properties. f(-5) = 10, f(0) = 5, f(5) = 0, f'(x) > 0 for |x| > 5, f'(-5) = f'(5) = 0, f'(x) < 0 for x < 0, f'(x) > 0 for x > 0.

Find the relative extrema for .

Find the relative extrema for f(x) = 3x + 3x⁴^/⁵.

Find the relative extrema for f(x) = x¹⁰^/⁹ -10x^-1^/⁹.

f(x) = cos 4x. Find the points of inflection on [0, $\pi$ /2].

Find the relative extrema for .

The derivative of a continuous function is f '(x) = 4(x -7)²(4x + 4). Find all critical points and determine whether a relative maximum, relative minimum or neither occurs there.

Quiz 4: The Derivative in Graphing and Applications

f(x) = 2x5 + 10. Find the points of inflection

Find the relative extrema for f(x) = 9x2/3 - 4x.

Sketch a continuous curve y = f(x) for x > 0 if = 0, and f '(x) = for all x > 0. Is the curve concave up or concave down?

Find the relative extrema for f(x) = x2/3(6 - x).

Find the relative extrema for .

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.

If f(x) = sin 2x (0, π\piπ ), find the intervals where f is concave up and where f is concave down.

If f(x) = x5- 2x + 4. Find the points of inflection.

Find the relative extrema for f(x) = 2x5 - 3x4.

f(x) = 2 sin 4x. Find the points of inflection on [0, π\piπ /2].

Find the relative extrema for f(x) = 4x2 - 8x + 3.

Sketch a continuous curve having the following properties. f(-5) = 10, f(0) = 5, f(5) = 0, f'(x) > 0 for |x| > 5, f'(-5) = f'(5) = 0, f'(x) < 0 for x < 0, f'(x) > 0 for x > 0.

Find the relative extrema for .

Find the relative extrema for f(x) = 3x + 3x4/5.

Find the relative extrema for f(x) = x10/9 -10x-1/9.

f(x) = cos 4x. Find the points of inflection on [0, π\piπ /2].

Find the relative extrema for .

The derivative of a continuous function is f '(x) = 4(x -7)2(4x + 4). Find all critical points and determine whether a relative maximum, relative minimum or neither occurs there.

Sketch a continuous curve having the following properties. f(0) = 4, f(-2) = f(2) = 0; f '(x) > 0 for (- ∞\infty∞ ,0) and f '(x) < 0 for (0, + ∞\infty∞ ), f'(x) < 0 for (- ∞\infty∞ , + ∞\infty∞ ).

f(x) = 2x⁵ + 10. Find the points of inflection

Find the relative extrema for f(x) = 9x^2/3 - 4x.

Find the relative extrema for f(x) = x^2/3(6 - x).

If f(x) = sin 2x (0, $\pi$ ), find the intervals where f is concave up and where f is concave down.

If f(x) = x⁵- 2x + 4. Find the points of inflection.

Find the relative extrema for f(x) = 2x⁵ - 3x⁴.

f(x) = 2 sin 4x. Find the points of inflection on [0, $\pi$ /2].

Find the relative extrema for f(x) = 4x² - 8x + 3.

Find the relative extrema for f(x) = 3x + 3x⁴^/⁵.

Find the relative extrema for f(x) = x¹⁰^/⁹ -10x^-1^/⁹.

f(x) = cos 4x. Find the points of inflection on [0, $\pi$ /2].

The derivative of a continuous function is f '(x) = 4(x -7)²(4x + 4). Find all critical points and determine whether a relative maximum, relative minimum or neither occurs there.