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LouisJump
@LouisJump
July 2022
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f'(x)>0
f(x)=sin2x - [tex] \sqrt{3x} [/tex]
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yellok
2cos2x-3/(2√3x)>0
2cos2x*x>√3/2
2x>π/6+2πk
x>π/12+πk ⇒ x∈(π/12+πk; +∞) k∈Z
3 votes
Thanks 2
LouisJump
мне надо в это поставить F'(x)>0
yellok
ты упражнения не правильно написал, нужно было писать так, вот это правильный ответ f(x)=sin2x-√3x
f '(x)= 2cos2x-√3
f'(x)>0 ⇒ 2cos2x-√3>0
cos2x>√3/2
2x>π/6+2πk
x>π/12+πk k∈Z x∈(π/12+πk; +∞) k∈Z
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Answers & Comments
2cos2x-3/(2√3x)>0
2cos2x*x>√3/2
2x>π/6+2πk
x>π/12+πk ⇒ x∈(π/12+πk; +∞) k∈Z
f '(x)= 2cos2x-√3
f'(x)>0 ⇒ 2cos2x-√3>0
cos2x>√3/2
2x>π/6+2πk
x>π/12+πk k∈Z x∈(π/12+πk; +∞) k∈Z