Select all statements that are TRUE.

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Find the Limit

• 0

• -1/4

• -5/4

• 1

• DNE

Tags

CCSS.HSA.APR.B.2

CCSS.HSA.APR.D.6

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 concave up

• The function is concave down

 If (a,b) is a local minimum, then what will be true about f'(a)?

• It's positive
• It's negative
• It's zero
• Cannot be determined

If f''(x) > 0 over the interval (a, b), then what will be true about f'(x)?

• It's constant

• It's increasing

• It's decreasing

• Cannot be determined

• Mean value theorem

• Instantaneous Rate of Change

• Intermediate Value Theorem

• Fundamental Theorem of Calculus

• Average Rate of Change
• Instantaneous Rate of Change
• Intermediate Value Theorem
• Average Value of f

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

What is this expression equivalent to?

• f '(g'(x))
• f '(x)g'(x)
• f '(g(x))g'(x)
• f '(g(x)

Tags

CCSS.HSF.IF.C.8

• position
• acceleration
• total distance
• speed

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

CCSS.HSN.VM.A.3

Find the derivative of f(x) = x²sinx

• f'(x) = 2xsinx - x²cosx
• f'(x) = 2xsinx + x²sinx
• f'(x) = 2xsinx + x²cosx
• f'(x) = 2xcosx