Rusho said:
topsquark, you don't need to take the limit as x -> 0. The problem does not ask for the slope of the tangent line at x = 0. It just ask for the rate of change from 0 to x.topsquark said:
There should be no minus sign in front of the 2x2, and you seem to be missing some parentheses. :)Rusho said:
Err, I don't understand, why is factorial involved in here?ksinclair13 said:
by typing ": w i n k :" without the spaces or by going to "advanced" and clicking on the icon.The rate of change from 0 to x in a function is also known as the slope or the derivative of the function at a particular point. In the case of 2x^2 + 3x, the rate of change from 0 to x is simply the coefficient of x, which is 3.
In a quadratic function, the rate of change from 0 to x can be calculated by finding the derivative of the function. For the function 2x^2 + 3x, the derivative is 4x + 3. Plugging in the value of x at the desired point will give you the rate of change from 0 to x.
The rate of change from 0 to x tells us the instantaneous rate at which the function is changing at a specific point. It gives us information about the steepness or slope of the function at that point.
The rate of change from 0 to x can be used in various real-world applications, such as calculating the velocity of a moving object or the rate of growth of a population. In these cases, the function would represent the distance or size at a given time, and the rate of change from 0 to x would give us information about how that distance or size is changing at a specific time.
A positive rate of change from 0 to x indicates that the function is increasing at that point, while a negative rate of change indicates that the function is decreasing. A rate of change of 0 indicates that the function is not changing at that point.