Basic Derivatives of Exponentials Base e

Find y' if y=e^3x

• e^3x
• e^2x
• 0
• 3e^3x

Tags

CCSS.HSF.BF.B.5

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.8

CCSS.HSF.IF.A.2

Find the derivative:
y=4e^x²

• y'=8xe^x
• y'=8xe^x²
• y'=8xe^2x
• y'=8xe^4x²

Tags

CCSS.HSF-IF.C.8B

Find the derivative:

y=e^{4x^2-5x+6}

• e^{4x^2-5x+6}

• e^8x-5

• (8x-5)e^{4x^2-5x+6}

• (4x^2-5x+6)e^{4x^2-5x+6}

Tags

CCSS.HSF-IF.C.8B

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