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
1 answer:
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
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