Derivative application Quiz

What can you conclude from this number line?

• there is a maximum for A at 12

• there is a minimum for A at 12

• you will have a profitable year

• the stars are aligning nicely

Tags

CCSS.6.NS.C.6

CCSS.6.NS.C.7

Pick the correct interpretation from the given number line for V', the derivative of V.

• V has a minimum at 3

• V has a maximum at both 1 and 5

• V has a maximum at 0 and a minimum at 6

• V has a maximum at 1 and a minimum at 5

The function shown is the graph of f '(x), the derivative of f(x). The domain is [-3,5]. On which interval is the graph of f(x) concave upward?

• (-1,1) & (3,5]

• [-3,-2) & (4,5]

• [-3,-1) & (1,3)

• (-2,1) & (1,4)

This graph is of the first derivative, f' (x). For what value of x does f have a relative maximum?

• x = 0

• x = 1

• x = 2

• x = 4

• x = 5

Given this graph of f'(x), on what interval(s) is f increasing?

• [-1,2]

• [0,1] U [3,4]

• [-1,0] U [1,3]

• [2,4]

Given the values of x, f(x), f'(x), and f''(x). Idenfify the critical values.

• -3

• -1

• 1

• 3

• 5

Given the values of x, f(x), f'(x), and f''(x). At what x-value is there a relative minimum.

• There is no relative minimum

• -1

• 1

• 3

• 5

Given the values of x, f(x), f'(x), and f''(x). At what x-value is there a relative maximum.

• -3

• -1

• 1

• 3

• There is no relative maximum

Given the values of x, f(x), f'(x), and f''(x). At what x-value is there a point of inflection.

• -3

• -1

• 1

• 3

• There is no point of inflection.

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

This graph is of the first derivative, f' (x). For what value of x does f have a relative minumum?

• x = 0

• x = 1

• x = 2

• x = 4

• x = 5