How do you find the equation of the

Ormezzani6cuu

Ormezzani6cuu

Answered question

2022-04-13

How do you find the equation of the line tangent to y=3x2x3 at point (1,2)?

Answer & Explanation

izvozna39g0

izvozna39g0

Beginner2022-04-14Added 9 answers

Explanation:
The equation of the tangent in point-slope form is.
yy1=m(xx1)
where m represents the slope and (x1,y1) a point on the tangent
Reminder: mtangent=dydx at x=a
y=3x2x3
 dy  dx =6x3x2
at x=1 dy  dx =63=3
using m=3 and (x1,y1)=(1,2) then
y2=3(x1) in point-slope form
distributing and simplifying gives an alternative version of the equation.
y-2=3x-3
y=3x1 in slope-intercept form

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