Calculus Review (limits, continuity, derivatives, integration)

what is the derivative of y= sin(2x)?

• y^/=cos(2x)

• y^/=2sin(2x)

• y^/=2sin(x)+cos(2x)

• y^/=2cos(2x)

when is the function f(x)=x²+6x+9 increasing?

• (3,∞)

• (-∞,3)

• (-3,-∞)

• (-3,∞)

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.4

What is the limit?

• DNE
• Infinity
• 6
• 12

Tags

CCSS.HSA.APR.B.2

CCSS.HSA.APR.B.3

CCSS.HSA.APR.D.6

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

What is the limit?

• Infinity
• 20
• DNE
• 12

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.1

What is the limit of the function as x approaches -4 from the left?

• 2
• -4
• DNE
• -2

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

• -7

• 0

• 1

• DNE

Which of the following best describes the continuity at x = 1?

• Continuous

• Removable Discontinuity

• Infinite Discontinuity

• Jump Discontinuity

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

What is the derivative of f(x) = 2x³ - 4x + 5?

• f'(x) = 6x² - 4x

• f'(x) = 2/3x² - 4x

• f'(x) = 3x² - 4

• f'(x) = 6x² - 4

Tags

CCSS.HSA.APR.A.1

CCSS.HSF.IF.A.2

What is the 2nd derivative of y = 2x³ - 4x + 6

• 6x² - 4

• 12x - 4

• 12x

• 6x

if f(x) = x² + 3, then f’’(0) is

• 0

• 2

• 4

• Undefined

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2