11/16 - Intro to Calculus - Check in

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 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 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 the limit. Hint: Where is the horizontal asymptote?

• ³/₇

• 0

• ∞

• -∞

Tags

CCSS.HSF-IF.C.8B

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