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manovna88
@manovna88
September 2021
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помогите срочно с примерами производных
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nKrynka
Решение
1) y = arctgx + 7*(e^x)
y` 1/(1 + x²) + 7*(e^x)
2) y = (19^x) - arcsinx
y` = (19^x)*ln19 - 1/√(1 - x²)
3) 3*sin²x - lgx + 3*cos²x
y` = 3*2sinx*cosx -1/(x*ln10) + 3*2*cosx*(-sinx) =
= 6sinx*cosx - 1/(x*ln10) - 6cosx*sinx = - 1/(x*ln10)
4) 2^(√x)
y` = (2^√x)*ln2*[1/(2√x)]
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Answers & Comments
1) y = arctgx + 7*(e^x)
y` 1/(1 + x²) + 7*(e^x)
2) y = (19^x) - arcsinx
y` = (19^x)*ln19 - 1/√(1 - x²)
3) 3*sin²x - lgx + 3*cos²x
y` = 3*2sinx*cosx -1/(x*ln10) + 3*2*cosx*(-sinx) =
= 6sinx*cosx - 1/(x*ln10) - 6cosx*sinx = - 1/(x*ln10)
4) 2^(√x)
y` = (2^√x)*ln2*[1/(2√x)]