jaja1990 said:Is there a relation between the fact that the derivative of x^2 is 2x and that the difference between 1,4,9,16, ... is 3, 5, 7, 9, ...?
And why is the difference always 2?
The relationship between X^2 and 2x is that X^2 is the square of 2x. In other words, X^2 is the result of multiplying 2x by itself.
X^2 grows at a faster rate than 2x. As the value of X increases, the value of X^2 will increase much faster than 2x.
Yes, X^2 and 2x can be graphed on the same coordinate plane. However, while 2x will have a linear graph, X^2 will have a curved graph.
When you add 1 to 2x, the resulting expression is 2x+1. This means that the value of 2x+1 is 1 more than the value of 2x.
Yes, there is a relationship between X^2 and 2x+1. X^2 is the result of multiplying 2x+1 by itself. This can also be written as (2x+1)^2, which is equivalent to 4x^2+4x+1.