deriative of x

Answer 1

Let y = x

Then the derivative is

dy/dx = 1

Method

Think of xto the power of ;1;

y = x^1

Casually To derive a statement make the power number the coefficient. Then subtract one from the power number.

Hence y = x^1

dy/dx = (1)x^(1-1)

NB The '1-1' = 0'

Hence

dy/dx = (1)x^(0)

NB Any value with a power of 'zero' is equal to one.

Hence

dy/dx = (1)(1) = 1

dy/dx = 1

NNB THe algebraic proof of derivatives is some 'heavy' algebra; too long for a short answer here,

Hope that helps!!!!