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89698
@89698
July 2022
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Решите 177(а,б,в),178(а,в),179(а,в). Пожл срочно
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C'=o
x'=1
(x^n)'=n*x^n-1
177
a)f'(x)=6x+8
6x+8=0
6x=-8
x=-8/6=-4/3
в)f'(x)=3x+4
3x+4=0
3x=-4
x=-4/3
б)f'(x)=-12x+13
-12x+13=0
x=13/12
178
a)f(x)=x*(x+1); x0=2
f(x)=x^2+x
f'(x)= 2x+1
f'(x0)=4+1=5
b)f(x)=x^3-5x^2
f'(x)=3x^2-10x
f'(x0)=20+12=32
179
f'(x)=-16x-2>0
-16x>2
x<-1/8
(-∞;-1/8)
b) f'(x)=1-12x
1-12x>0
-12x>-1
x<1/12
(-∞;1/12)
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Answers & Comments
x'=1
(x^n)'=n*x^n-1
177
a)f'(x)=6x+8
6x+8=0
6x=-8
x=-8/6=-4/3
в)f'(x)=3x+4
3x+4=0
3x=-4
x=-4/3
б)f'(x)=-12x+13
-12x+13=0
x=13/12
178
a)f(x)=x*(x+1); x0=2
f(x)=x^2+x
f'(x)= 2x+1
f'(x0)=4+1=5
b)f(x)=x^3-5x^2
f'(x)=3x^2-10x
f'(x0)=20+12=32
179
f'(x)=-16x-2>0
-16x>2
x<-1/8
(-∞;-1/8)
b) f'(x)=1-12x
1-12x>0
-12x>-1
x<1/12
(-∞;1/12)