What is the equation of the normal line

delitzo1d4

delitzo1d4

Answered question

2022-04-10

What is the equation of the normal line of f(x)=(1x)e3xex at x=1?

Answer & Explanation

Cesar Mcfarland

Cesar Mcfarland

Beginner2022-04-11Added 8 answers

The general equation for normal is
yf(x0)=1f(x0)(xx0)
x0=1
f(x0)=f(1)=e
f(x)=ex(3xe2x+12e2x)
f(x0)=f(1)=e(3e2+12e2)=e(e2+1)
y+e=1e(e2+1)(x1)

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