We have been lied to
We are taught that `(d/dx) (x^2) = 2x` , but this is a lie.
`(d/dx) f(x) = lim(h->0) (f(x+h) - f(x))/(h)`
`(d/dx) x^2 = lim(h->0) ((x+h)^2 - x^2)/(h)`
`= lim(h->0) (x^2 + 2hx + h^2 - x^2)/(h)`
`= lim(h->0) (2hx + h^2)/(h)`
`= lim(h->0) (2x + h)`
And, from rdm, we know that `lim(h->0) h = 0.000...1`
Therefore, the first derivative of x^2 is 2x+.000...1
All of calculus and physics is a damn lie. Wale up sheeple. Stop praising failed failed country musicians who marry football stars to be famous, and learn the truth as SPP has shared the truth.
*Side Note: this only applies to limits approaching from the right. Limits from the left are different.