How do you find the equation of the line tangent

Dangelo Le

Dangelo Le

Answered question

2022-02-10

How do you find the equation of the line tangent to the graph of 2x31x2 at the point (1,1)?

Answer & Explanation

Nathalie Frazier

Nathalie Frazier

Beginner2022-02-11Added 15 answers

2x31x2=2x1x2
the derivative is slope of the tangent and is 2+2x3
at x=1 the slope is 4
as point is (1,1) and slope is 4
general equation of a line is
y=mx+c
given m=4 & (x,y)=(1,1)
substituting
1=4+c
c=-3
the equation of tangent is
y=4x-3

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