Asked by Anonymous
find an equation of the tangent line to the graph of the function f through the point (xsub0, ysub0) not on the graph. TO find the point of tangency (x,y) on the graph of f, solve the equation ....
Answers
Answered by
Steve
It is not always possible to find such a tangent line.
Consider the graph of y=x^2. No tangent line will pass through the point (0,1), since it lies inside the parabola.
However, assuming that the point is properly placed, we need to find a point (x,y) on the graph such that the tangent line passes through (x,y) and (x0,y0).
That is, f'(x) = (y0-y)/(x0-x)
Consider the graph of y=x^2. No tangent line will pass through the point (0,1), since it lies inside the parabola.
However, assuming that the point is properly placed, we need to find a point (x,y) on the graph such that the tangent line passes through (x,y) and (x0,y0).
That is, f'(x) = (y0-y)/(x0-x)
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