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Mathematics

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Quiz

Lesson 1 Quiz: Rate of Change and Differentiation Rules

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  • Questions count: 3
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1.
According to the Chain Rule, if y = (3 x2 - 5)4, then dy/dx is:
6 x (3 x2 - 5)3
12 x (3 x2 - 5)4
24 x (3 x2 - 5)3
4 (3 x2 - 5)3
2.
If a particle moves along a straight line such that its position s(t) = t3 - 6 t2 + 9 t meters, the particle comes to an instantaneous rest (velocity v(t) = 0) at times:
t = 1 second and t = 3 seconds
t = 6 seconds
t = 0 seconds only
t = 2 seconds and t = 4 seconds
3.
The equation of the tangent line to the curve y = x3 at the point (1, 1) is:
y = 3x + 1
y = x
y = 3x - 2
y = -3x + 4
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