(1) Derivatives are useful tools for providing information about the behaviour of the graph.
(2)Derivatives helps to measure the steepness of the graph.
(3)Derivatives gives us information wether the graph is increasing or decreasing.
(4) Derivatives Helps us to determine maximum,minimum value,and crital pointsof graph. hope it will help Kalim Raja
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y = (some function of x). Since you've not given us the graph no-one can be any more helpful than that!
The derivative of a function is another function that represents the slope of the function at each of the points in the original function's domain. For instance, given the function f(x) = x2, the derivative is f'(x) = 2x. This says that the slope of the original function f(x) = x2 is 2x at every x. This is very useful when you want to graph the function, because you only need a few data points, and then you can quickly sketch the shape of the curve when you know the slope. Later on, you are going to learn about anti-derivatives, and you are going to call them integrals, and you are going to learn the vast power of this thing we call calculus in terms of finding the area under a curve, but let's take it one step at a time.
A polynomial function have a polynomial graph. ... That's not very helpful is it, but the most common formal definition of a function is that it is its graph. So, I can only describe it. A polynomial graph consists of "bumps", formally called local maxima and minima, and "inflection points", where concavity changes. What's more? They numbers and shape varies a lot for different polynomials. Usually, the poly with higher power will have more "bumps" and inflection points, but it is not a absolute trend. The best way to analyze the graph of a polynomial is through Calculus.
the graph is called a line
A sine graph!