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dmccray3357
05.07.2019 •
Mathematics
Determine the number(s), x, between 0 and 2π where the line tangent to the function f(x)=2sin(x)+2cos(x) is horizontal.
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Ответ:
The slope of the tangent line at a point, is determined by the derivative of the function, at that point.
So, we find the derivative of f, and find when it is equal to 0:
f'=2cos(x)-2sin(x)
2cos(x)-2sin(x)=0
cos(x)=sin(x),
then x is 45 degrees or 45+180=225 degrees, which are
π/4, 5π/4
Ответ:
i dont get it
Step-by-step explanation: