What is the equation of the line normal

Ormezzani6cuu 2022-04-08 Answered
What is the equation of the line normal to f(x)=1x2 at x=1?
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Answers (1)

Quimpoah3b
Answered 2022-04-09 Author has 13 answers
Explanation:
first find f'(x)
f(x)=(x2)1
f(x)=(x2)2
then find the slope of the tangent line at x=1, which is also f'(1)
f(1)=(12)2
f(1)=(1)2
f'(1)=-1
use this fact: normal slope * tangent slope =-1
normal slope *(-1)=-1
normal slope =1
now find the point where x=1
the y-value is f(1)=112=11=1
for the normal line, the point is (1, -1) and the slope is 1
use point-slope form:
y-(-1)=1(x-1)
y+1=x-1
y=x-2

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