How do find the equation of the tangent of the

cyrsvab

cyrsvab

Answered question

2022-02-11

How do find the equation of the tangent of the curve of y=x24x at the point with coordinates (2, -4)?

Answer & Explanation

Ashly Forbes

Ashly Forbes

Beginner2022-02-12Added 12 answers

You can use the derivative to determine the slope of the tangent and then use the slope-point form for the equation.
y=x24x
dydx=2x4
when x=2 this gives a slope of 2(2)-4=0
(Actually at this point we know the tangent is a horizontal line, y=-4 but we'll continue on to demonstrate the method).
Using the slope m=0 and the point (2,-4)
the slope point form, (yy1)=m(xx1)
becomes
y-(-4)=(0)(x-2)
y=4

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