BC Calculus Limits

• A
• B
• C
• D

Find the derivative of f(x)=(x³-2x)²

• 6x⁵ - 12x³+8x
• 6x⁵ - 16x³+8x
• x⁶-4x⁴+4x²
• 6x⁵ - 16x^3-8x

Find dy/dx for
y = 3^2x+5 

• dy/dx = 3^(2x+4)
• dy/dx = (3^(2x+4)) ln 3
• dy/dx = 3^(2x+5) ln3
• dy/dx = (3^(2x+5)) (ln 3) (2)

Differentiate:

f(x) = x³e^4x

• f '(x) = 3x²e^4x

• f '(x) = 3x²e^4x+3x²e^4x

• f '(x) = x²e^4x(4x+3)

• f '(x) = xe^4x(4x²+3x)

What is f'(x) if f(x) = cos(5x⁴)?

• f'(x) = sin(20x³)
• f'(x) = 20x³ sin(5x⁴)
• f'(x) = -sin(20x³)
• f'(x) = -20x³ sin(5x⁴)

Find the second derivative of f(x) = x² + e^x  - cosx

• f"(x) = 2 + e^x + cosx
• f"(x) = 2x + e^x + cosx
• f"(x) = 2x + xe^x - cosx
• f"(x) = 2x + e^x + sinx

Find h'(3)

• -2
• 0
• 1
• 3

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

Find the limit

• 0

• 8

• 16

• Does Not Exist (DNE)

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

CCSS.HSA.SSE.B.3

Find the limit as x approaches 1⁺

• 1

• -1

• -3

• Infinity

• DNE

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

CCSS.HSA.SSE.B.3

Find the limit as x approaches 1

• 1

• -1

• -3

• Infinity

• DNE

Tags

CCSS.HSA.SSE.A.1