All differentiation review

• A
• B
• C
• D

What is the derivative of e^x?

• xe^x-1
• x^e
• e^x
• e^x-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)

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

Tags

CCSS.HSF.IF.C.8

Find the derivative f(x) = xe^x

• f'(x) = e^x

• f'(x) = xe^x + xe^x

• f'(x) = e^x - xe^x

• f'(x) = e^x + xe^x

Tags

CCSS.HSF.IF.A.2

CCSS.HSF.IF.C.8

What is the derivative of ln(x)?

• xln(x)
• 1/x
• e^x
• ln(x+1)

Tags

CCSS.HSF.BF.B.5

Derive y=e^3x

• e^3x
• 3e^3x
• 3x
• 3xe^3x

Tags

CCSS.HSF.LE.A.1

Find dy/dx

• A

• B

• C

• D

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

• A
• B
• C
• D

Tags

CCSS.HSA.SSE.B.3

CCSS.HSF.BF.B.5