Question

Find the equation of the line tangent to the curve defined by f (x) = x^2+1/the absolute value of x at the point (1, 2) Show all your work

Answer 1

Answer:

Step-by-step explanation:

so to find the equation tangent to the curve x^2+1 at the point (1,2)

-First we must find the derivative then plug in the point

d/d(x)=2x                                (power rule)

so then we plug in the x and y values (we don't need to worry about the 2-y value- because we did not need to compute and derivatives with y)

so we plug in 1 for the x

y=2(1)

2

now we plug it into equation of a line

y - 2 = 2(x - 1)

or

y=2x