Calculus: Implicit Differentiation
From this video, I found it very easy to understand.
Staring 07:23, he use the formula of "Point-Slope Equation of a Line", which is "y - y1 = m(x - x1)".
So y1 = -1, x1 = 1, m = -1 [the result from the derivative using implicit differentiation] so,
y - y1 = m(x - x1)
y - -1 = m(x - 1)
y + 1 = -1 (x -1)
y = -x + 1 - 1
y = -x
Note that, Point-Slope Equation of a Line is different from Equation of a Straight Line formula.
Staring 07:23, he use the formula of "Point-Slope Equation of a Line", which is "y - y1 = m(x - x1)".
So y1 = -1, x1 = 1, m = -1 [the result from the derivative using implicit differentiation] so,
y - y1 = m(x - x1)
y - -1 = m(x - 1)
y + 1 = -1 (x -1)
y = -x + 1 - 1
y = -x
Note that, Point-Slope Equation of a Line is different from Equation of a Straight Line formula.
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