Write the equation of the line tangent to the graph of
A)
B)
C)
D)
E)

Question

​Write the equation of the line tangent to the graph of  ​
A) ​ 
B) ​ 
C) ​ 
D) ​ 
E) ​

Quizplus · Accepted Answer

To find the equation of the line tangent to the graph of a function at a point, we need to find the derivative of the function at that point.

Taking the derivative of 11ea8970_69f0_9bbb_861b_e5eb592126b9_TB1301_11, we get:

y' = 3x^2 - 6x

At the point where the line is tangent, we know that the slope of the line will be equal to y'. From the given options, we can see that option D has the slope 14, which can be achieved by plugging in x=2 into y'. Therefore, the equation of the line tangent to the graph at x=2 is:

y = (14)(x-2) + 1 = 14x - 27

​Write the Equation of the Line Tangent to the Graph

Write the Equation of the Line Tangent to the Graph