Mar 20, 2006 20:49
For all of you people who understand calculus, please take a look at the following equation:
x^3-4x-8
y= -------- ; x = -1
x^2
Do you see this? Please, tell me what rule you would use. Immediately, please, it's not hard, it's one of only one set of rules that can fit this.
If you guessed Quotient Rule, you guessed correctly!
What does Quotient Rule state?
g(x)f'(x) - f(x)g'(x)
h'(x) = --------------------
[g(x)]^2
f(x)
when h(x) = ------ ; h(x) is differentiable over any point x
g(x)
Do you see this? Very nice. This is the REAL way that you do a fraction differentiation.
Not this way.
y = x^3-4x-8(x^-2)
You do NOT DIFFERENTIATE THIS. NO.
I FORBID IT.
Thank you, IB Classes of Kenwood High School. Your Math Studies teacher is now going to be forced with the following tortures:
A. Implicit Differentiation.
B. Integration by Parts.
C. Polar Coordinates Calculus.
D. Vector Calculus.
E. Newton's Method of Approximation.
Good day.