Find the equation of the tangent to a curve y= 3x² - 6x + 1 at a point

y

=

3

x

−

1

Explanation:

Find  

d

y

d

x

of  

y

equation

y

=

3

x

2

−

x

3

d

y

d

x

=

6

x

−

3

x

2

Then from the point (1,2) we can obtain the x value which is 1

Insert  

x

=

1

into  

d

y

d

x

d

y

d

x

=

6

(

1

)

−

3

(

1

)

2

d

y

d

x

=

3

To form the equation we have to base it from the original equation

y

=

m

x

+

c

we know that m=3 from  

d

y

d

x

=

3

y

=

3

x

+

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

=

3

x

−

1

Step-by-step explanation:

e) none of the above because the measure of angle cba is 101°