What is the equation of the normal line

Heather Dickson

Heather Dickson

Answered question

2022-04-10

What is the equation of the normal line of f(x)=5x3+2x2+x2 at x=2?

Answer & Explanation

veselrompoikm

veselrompoikm

Beginner2022-04-11Added 12 answers

f(2)=40+8+2-2=48
The tangent line is: y=kx+n, where k=f'(x). So,
f(x)=15x2+4x+1
f(2)=69k=69
The normal line is: y=k1x+n1, where k1=1k.
k1=169
48=1692+n1n1=48+269=331469
Finally,
y=169x+331469 or
x+69y=3314

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