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bckyanne3
21.12.2019 •
Mathematics
D/dx(sin x/2+cos x) = (a + b cos x)/(2+cos x)^2 find a and b.
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Ответ:
a = 1 and b = 2
Step-by-step explanation:
Using the Quotient Rule>
d/dx[(sin x)/(2+cos x) ]
= [(2 + cos x) * cosx - sin x * - sin x)] / (2 + cos x)^2
= 2cos x + cos^2x + sin ^2 x) / (2 + cos x)^2
But cos^2x + sin^2x = 1 so we have:
(1 + 2 cos x) / (2 + cos x)^2
- so a = 1 and b = 2.
Ответ:
no thank you
Step-by-step explanation: