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Earn +20 ptsQ: What is the period of the function y equals 2sin x?
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Continue Learning about Algebra
What is the second derivative of y equals 2sinx cosx?
y = 2sin(x)cos(x)Use the product rule: uv' + vu' where u is 2sin(x) and v is cos(x) to find first derivative:y' = 2sin(x)(-sin(x)) + cos(x)2cos(x)Simplify:y' = 2cos2(x)-2sin2(x)y' = 2(cos2(x)-sin2(x))Use trig identity cos(2x) = cos2(x)-sin2(x):y' = 2cos(2x)Take second derivative using chain rule:y'' = 2(-sin(2x)cos(2x))Simplify:y'' = -2sin(2x)(2)Simplify:y'' = -4sin(2x)y'' = -4sin(2x)
What is the average rate of change from x equals 2 to x equals 3 for the function f of x equals 3 ln x?
It is 1.2164
How do you know that y is a function of x?
If you plug in y for the x function, and it equals the answer you got, it is right.
Integral of sin 2x divided by 1 plus cosine squared x?
3
Is x plus 8y equals 5 a function?
No, that is a equation.
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