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If y = cos^-1(e^x), what is y'?
Ae^x / sqrt(1 - e^(2x))
B-e^x / sqrt(1 - e^(2x))
C-1 / sqrt(1 - e^(2x))
D-e^x / (1 + e^(2x))
Answer & Solution
Correct answer: B. -e^x / sqrt(1 - e^(2x))
The derivative of cos^-1 u is -1/sqrt(1 - u^2) times u', with u = e^x giving -e^x / sqrt(1 - e^(2x)).
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