Application of derivatives

What is a horizontal tangent?

• Has a positive slope.

• Has a negative slope.

• Has a slope of zero.

• Has an undefined slope.

What is a vertical tangent?

• Has a positive slope.

• Has a negative slope.

• Has a slope of zero.

• Has an undefined slope.

If a function has a derivative that is negative, what does that tell you?

• The function is increasing

• The function is decreasing

• The function is constant

• Neither increasing nor decreasing

If a function has a second derivative that is positive, what does that tell you?

• The function is increasing
• The function is decreasing
• The function is concave up
• The function is concave down

Does this graph have a maximum or minimum value?

• maximum
• minimum
• neither
• both

Tags

CCSS.HSA.REI.B.4

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

How many extrema are in the picture?

• 2
• 3
• 4
• 5

Tags

CCSS.HSA.APR.B.3

If f"(x) < 0, what is true about f(x)?

• it is concave up there

• it has an inflection point

• It's zero

• it is concave down there

If f '(x) <0, what is true about f(x)?

• it is concave up there
• it's decreasing
• It's increasing
• it is concave down there

What is the equation of the line tangent to y= x²+2x-1 at x=1?

• y=2x
• y=4x-2
• y=4x
• y=2x-2

• -1/4

• 1/4

• π/4

• -π