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Mathematics

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Quiz

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

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  • Questions count: 3
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1.
The derivative of \(f(x) = 5^{x^2}\) with respect to \(x\) is:
B) \(2x cdot 5^{x^2} cdot ln 5\)
A) \(2x cdot 5^{x^2}\)
D) \(x^2 cdot 5^{x^2 - 1}\)
C) \(5^{x^2} / ln 5\)
2.
The derivative of y = sin(3x) with respect to x is:
-3 cos(3x)
3 cos(3x)
3 sin(3x)
cos(3x)
3.
If y = sin(3x) + cos(2x), then dy/dx at x = 0 equals:
3
1
-2
5
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