Show that the sum of the x- and y- intercepts of any tangent line to the curve ( square root of x plus square root of y equals square root of c) is equal to c.
Show that the sum of the x- and y- intercepts of any tangent line to the curve ( square root of x plus square root of y equals square root of c) is equal to c.
A tangent line to the given curve will pass through the tangent point - which in this case is [x[sub:32gt193e]1[/sub:32gt193e],(?c - ?x[sub:32gt193e]1[/sub:32gt193e])[sup:32gt193e]2[/sup:32gt193e]]
What is the slope of the tangent line - (think about derivative of the function)?
What is the equation of the tangent line - you know the slope and a point on the line?
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