Question:
What is the equation of the tangent line to the function y=2x^2 - x + 3 at x= 1
a. y=4x+8
b. y=4x-8
c. y=4x-6
d. y=4x
Answer:
The equation of tangent is y = 3 x+1
Explanation:
Given the equation of the tangent line to the function

Need to find out the equation of tangent at x = 1
We know that the equation of tangent for any function at point A is

According to question,

To find out the value of
, we put the value of
in the given equation as,

Slope of line at x=1 is

So the required equation of tangent is


