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Question

Set up an equation of a tangent to the graph of the following function.
y=x22x+5 at the point of its intersection with the y axis.

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Solution

y=x22x+5
The point of intersection at y-axis has abscissa as 0
y=022(0)+5=5
The point of intersection with y-axis is (0,5)
dydx=2x2
(dydx)x=0=2=m
m(xx1)=yy1
2(x0)=y5
2x+y5=0

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