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Lesson 1 Quiz: Three-Dimensional Cartesian Coordinates and Vector Operations

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1.
If \(y = \sec(3x)\), then the derivative \(\frac{dy}{dx}\) is equal to:
C) $-3csc(3x) cot(3x)$
D) \(3sec^2(3x)\)
B) $sec(3x) tan(3x)$
A) $3sec(3x) tan(3x)$
2.
The second derivative d2y/dx2 of the function y = x4 - 2 x3 + 5 is:
4 x3 - 6 x2
24 x - 12
12 x2 - 6 x
12 x2 - 12 x
3.
If f(x) = |x - 3|, the derivative f'(3) at x = 3:
Does not exist because the left-hand derivative (-1) does not equal the right-hand derivative (+1)
Equals 1
Equals 0
Equals -1
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