AB Derivatives Review

Derive y=5x⁴

• (5x³)/4
• 20x⁴
• 20x³
• x⁵

Find the slope of      y= 3x² - 5 using the point x=2

• 10
• 11
• 12
• 13

Derive y=e^3x

• e^3x
• 3e^3x
• 3x
• 3xe^3x

Tags

CCSS.HSF.LE.A.1

Differentiate      y= 12x^-2

• 24x^-1
• -24x^-3
• -24x^-1
• 6x^-3

Tags

CCSS.HSN.RN.A.1

CCSS.HSN.RN.A.2

Derive                           y=(3x⁴ - 7)*(5x² + 1)

• (12x³)*(10x)
• (3x⁴ - 7)*(10x) + (12x³)*(5x² + 1)
• (3x⁴ - 7)*(10x) - (12x³)*(5x² + 1)
• (3x⁴ - 7)/(10x) + (12x³)/(5x² + 1)

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Derive                      y=(x+2)/(X-3)

• ((x-3)-(x+2))/(x-3)²
• ((x+2)-(x-3)/(x-3)²
• ((x-3)-(x+2))/(x+2)²
• ((x+2)-(x-3)/(x+2)²

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.SSE.B.3

Derive                     y=(x² + 1)⁵

• 10(x² + 1)⁴
• 5(2x)⁴
• 5(x² + 1)⁴
• (x² + 1)⁴(10x)

Derive y=(Sin3x)²

• 2Cos(3x)

• 6cos(3x)

• 18xCos(3x)

• 6Cos(3x)Sin(3x)

Tags

CCSS.HSF.IF.C.8

Find the derivative of the given equation
f(x) = x⁴ + 4x³ - 2x²

• x³ + x² - x
• 4x³ + 12x² + 4x
• 4x + 12x - 4x
• 4x³ + 12x² - 4x

Tags

CCSS.HSA.APR.A.1

Find the derivative:
y=5x²e^3x

• y'=10xe^3x(2x+3)
• y'=5xe^3x(3x+2)
• y'=10ex^3x(3x+2)
• y'=5xe^3x(2x+3)