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Lesson 1 Questions: Rate of Change and Differentiation Rules — Lesson quiz

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1.
Using the quotient rule, the derivative of (x + 3)/(x − 2) for x ≠ 2 is:
5/(x − 2)2
1/(x − 2)2
(2x + 1)/(x − 2)2
−5/(x − 2)2
2.
The tangent to y = x3 at the point (1, 1) is:
y = 3x + 1
y = −3x + 4
y = x
y = 3x − 2
3.
For f(x) = 2x3 − 9x2 + 12x + 1, the local maximum occurs at x =
x = 2
x = 1
x = 1.5
x = 3
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