What is the equation of the line normal

Leia Sullivan

Leia Sullivan

Answered question

2022-04-07

What is the equation of the line normal to f(x)=(3x-1)(2x+4) at x=0?

Answer & Explanation

analiticozuod

analiticozuod

Beginner2022-04-08Added 10 answers

Differentiate the formula to find the slope m. The line normal to the function is then
1m. Given the point through which it passes, the equation of the line can then be calculated.
f(x)=(3x-1)(2x+4)
f(x)=6x2+10x4
f'(x)=12x+10
At x=0, f'(x)=10
1m=110
At x=0, f(x)=4
4=x10+c
c=4
the equation of the normal is 10y=-x+40

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