Similarly, x 2 y 2 =25 can define y as a function of x if you make a choice of sign for y, either y=sqrt (25x 2) or y=sqrt (25x 2 ) It's a subtle but important distinction between functions, equations or formulas which define them, and also their x 2 y 2 = 25,consider a very magnified neighbourhood of the curve at any point excepts the points x = 5, − 5In that neighbourhood there can be defined as function f such that y = f (x) where y satisfies the given relationNow express y in terms of xTake one of f (x) = − (25 − x 2) or f (x) = 25 − x 2then differentiate like a function,you will ultimately get the same resultAs seen in Example 3, the equation x 2 y 2 = 25 does not define y as a function of x Each graph in these exercises is a portion of the circle x 2 y 2 = 25 In each case, determine whether the graph defines y as a function of x, and if so, give a formula for y in terms of x
The Reduced Inclusive Dis Cross Section Plotted As A Function Of Y 2 Y Download Scientific Diagram
