Sunday, February 19, 2012

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.

A leap of interest and notes for my blog

Now in this blog, I'm starting to compile videos that I have found very helpful in learning Mathematics, and this will include diverse subjects and branch of Mathematics [Calculus, Linear Algebra, Trigonometry, Geometry, etc.], and even Theoretical Computer Science.

For videos, I'll be putting notes from what I have understand from them so that I cannot forget what I have learned from the videos.