Derivatives

When you are finding the instantaneous rate of change at a single point, you are finding the slope of the (a)   line at that point.

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Tags

CCSS.HSA.REI.D.10

CCSS.HSG.GPE.B.5

CCSS.HSA.CED.A.2

Tags

CCSS.HSG.GPE.B.5

CCSS.HSG.CO.A.1

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

• The function is increasing
• The function is decreasing
• The concavity of the function is up
• The concavity of the function is down

Tags

CCSS.HSF.BF.B.3

• local maximum

• local minimum

• stationary point/platuae point

Which one of the following statements is always true?

• When a graph is increasing, its derivative is negative.

• When a graph is decreasing, so is its derivative.

• When a graph is decreasing, its derivative is negative.

• When a graph is increasing, so is its derivative.

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

The derivative of a function is its

• Slope
• Maximum/Minimum
• Instantaneous rate of change
• Common Denominator

If given f'(x) how would you find the intervals which the graph f(x) has a positive slope?

• f'(x) < 0 (negative)
• f'(x) > 0 (positive)
• f'(x) is increasing
• Can't be determined

Find the derivative of the given equation
f(x) = x³ + x² + 3

• 3x² + 2x
• 3x + 2x 
• 3x + 2x + 3
• x³ + x²