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How derivatives are helpful to find the behavior of graph of function'?
Wiki User
∙ 16y ago
(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
Wiki User
∙ 16y ago
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What is the equation of a graph?
y = (some function of x). Since you've not given us the graph no-one can be any more helpful than that!
What are derivatives and why do derivatives exist?
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.
What is a polynomial function as a graph?
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.
How does the graph of the Mandelbrot set function relate to composite functions?
The Mandelbrot graph is generated iteratively and so is a function of a function of a function ... and in that sense it is a composite function.
What is the graph of a linear function?
the graph is called a line
What are uses of derivatives?
A derivative of a function represents that equation's slope at any given point on its graph.
What are the uses of derivatives?
A derivative of a function represents that equation's slope at any given point on its graph.
What is the equation of a graph?
y = (some function of x). Since you've not given us the graph no-one can be any more helpful than that!
When does a graph represents a function?
take a vertical line, if another line intersects that vertical line at 2 points, then it is a function.In other words,a graph represents a function if each vertical line meets its graph in a unique point.
Is a circle graph a function?
No, a circle graph is never a function.
What part of a polynomial function determines the shape and end behavior of a graph?
The order of the polynomial (the highest power) and the coefficient of the highest power.
What is the zero of a function and how does it relate to the functions graph?
A zero of a function is a point at which the value of the function is zero. If you graph the function, it is a point at which the graph touches the x-axis.
What a function rule?
As you get to harder and higher analysis of functions, it's not required. A function rule, apparently, is an equation that represents a function. A function, properly defined, is its graph. A graph is a subset of a plane, where it's the set of all points (a, b), and for every value a, f(a) = b is the definition of a function. So you can get a plane, squible some lines that's not over lapping, you get a function. How the HELL do you get an equation for that? Hence, the function is kinda useless? No! Function equations can help us making analysis of those that does have one. In terms of derivatives, limits etc.
Can a line be a graph of a function?
Yes the graph of a function can be a vertical or a horizontal line
Can a line be the graph of a function?
Yes the graph of a function can be a vertical or a horizontal line
How can you tell if a graph is a sine function or a cosine function?
sine graph will be formed at origine of graph and cosine graph is find on y-axise
How is the function differentiable in graph?
If the graph of the function is a continuous line then the function is differentiable. Also if the graph suddenly make a deviation at any point then the function is not differentiable at that point . The slope of a tangent at any point of the graph gives the derivative of the function at that point.
