How do you find the equation of the tangent line

Shamar Lloyd

Shamar Lloyd

Answered question

2022-02-10

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

Answer & Explanation

ljmolerovae

ljmolerovae

Beginner2022-02-11Added 15 answers

Find dydx of y equation
y=3x2x3
dydx=6x3x2
Then from the point (1,2) we can obtain the x value which is 1
Insert x=1 into dydx
dydx=6(1)3(1)2
dydx=3
To form the equation we have to base it from the original equation
y=mx+c
we know that m=3 from dydx=3
y=3x+c
use the coordinates given fro x and y values to find c
(1,2) x=1 , y=2
(2)=3(1)+c
c=-1
Then we put c back into the general form to get the final tangent equation
y=3x-1

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