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AP Calculus AB/BC
Unit 2 – Fundamentals of Differentiation
Topic 2.9
What is the derivative of y(x) = e^x / (4x^3 + x)?
(4e^x * x^3 - 12e^x * x^2 + e^x * x - e^x) / (4x^3 + x)
(4e^x * x^3 - 12e^x * x^2 + e^x * x - e^x) / (4x^3 + x)^2
(4x^3 - 12e^x * x^2 + e^x * x - e^x) / (4x^3 + x)^2
(4e^x * x^3 - 12e^x * x^2 + e^x * x - e^x) / e^x
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AP Calculus AB/BC - 2.9 The Quotient Rule
Key terms
Derivative
e^x
4x^3 + x
y(x)
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