Derivatives PRactice

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.C.8B

Find the derivative:
y = 3ln(x²-3)

• 6x/(x²-3)
• 3/(x²-3)
• 3x/(x²-3)
• 9x/(x²-3)

Tags

CCSS.HSA.SSE.A.2

• (3x²-2) cos(x³-2x)
• -(3x²-2) cos(x³-2x)
• cos(2x²-2)
• sin(2x²-2)

Find the derivative:
f(x) = -2cosx

• -2sinx
• -cos²x
• 2sinx
• 2cosxsinx

What is the derivative of ln(x)?

• xln(x)

• e^x

• ln(x+1)

What is the derivative of -cos(x)?

• sin(x)
• -sin(x)
• cos(x)
• -cos(x)

Find the derivative f(x) = (3x + 5)⁴

• f'(x) = 12(3x)³
• f'(x) = 12(3x + 5)³
• f'(x) = (3)⁴
• f'(x) = (3x + 5)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