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Hasuni
@Hasuni
July 2022
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Напишите уравнение касательной к графику функции y=f(x), параллельной оси Ox, если:
1) f(x) = 1/(x^2-2x+2)
2) f(x) = 1/(x^2+4x+5)
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rskopov
Решение:
y=a
f'(x)=(2-2x)/(x^2-2x+2)^2
f'(x)=0 2-2x=0 x=1
y=0x+b
f(1)=1
y=1
2) f'=(-4-2x)/(x^2+4x+5)^2
-4-2x=0
x=-2
f(-2)=1
y=1.
2 votes
Thanks 1
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Answers & Comments
y=a
f'(x)=(2-2x)/(x^2-2x+2)^2
f'(x)=0 2-2x=0 x=1
y=0x+b
f(1)=1
y=1
2) f'=(-4-2x)/(x^2+4x+5)^2
-4-2x=0
x=-2
f(-2)=1
y=1.