AP CAL SEMESTER REVIEW

Derive                     y=(x² + 1)⁵

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

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.C.4

Derive y=5x⁴

• (5x³)/4
• 20x⁴
• 20x³
• x⁵

Derivative means the same thing as

• slope of the tangent line
• slope of the normal line
• exponent
• potato

Tags

CCSS.HSF.IF.B.6

What is the derivative of sin(x)?

• sin(x)
• cos(x)
• -sin(x)
• -cos(x)

What is the derivative of tan(x)?

• tan(x)
• sec(x)
• tan²(x)
• sec²(x)

Find the derivative f(x) = x²/e^x

• f'(x) = (x²e^x - 2xe^x) / (e^x)²
• f'(x) = (2xe^x + x²e^x) / (e^x)²
• f'(x) = (2xe^x - x²e^x) / (e^x)²
• f'(x) = x²e^x + 2xe^x

Find h'(3)

• -2
• 0
• 1
• 3

Find the limit

• 0

• 8

• 16

• Does Not Exist (DNE)

Tags

CCSS.HSA.APR.D.7

CCSS.HSA.APR.D.6

CCSS.HSA.APR.B.3

CCSS.HSA.SSE.B.3

Find the limit at infinity

• 0

• DNE

• 4/3

• -3/2

Tags

CCSS.HSA.APR.D.7

CCSS.HSA.APR.A.1

CCSS.HSA.APR.D.6