What is the equation of the normal line

Meghan Delacruz

Meghan Delacruz

Answered question

2022-04-09

What is the equation of the normal line of f(x)=2x310x at x=2?

Answer & Explanation

uvredio0of6

uvredio0of6

Beginner2022-04-10Added 17 answers

The equation of the line normal to the graph y=f(x) in the point (x,f(x)) is
given by:
y=f(x)1f(x)(xx)
On our case x=2 and:
f(x)=2x310xf(2)=36
f(x)=6x210f(2)=34
So the equation of the normal line is:
y=36+134(x2)=x3436117

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