When To Find Dervitives,how To Find Dervitives

  • Thread starter janemba
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In summary, the derivative is a mathematical concept used to calculate the rate of change of a quantity. It can be represented visually as the tangent line on a graph and can also be calculated using various rules. We use derivatives to calculate velocity and acceleration, as well as to derive differential equations. It is impolite to write in all capital letters when asking for help on the internet.
  • #1
janemba
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I WAS JUST WONDERING IF ANYBODY KNOWS HOW TO FIND DERVITIVE OR WHEN TO FIND A DERVITIVE AND WHEN DO WE USE THIS SYMBOL FOR EXAMPLE [tex]\Delta[/tex] WHAT DOES THIS MEAN AND WHEN DO YOU USE IT
 
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  • #2
janemba said:
I WAS JUST WONDERING IF ANYBODY KNOWS HOW TO FIND DERVITIVE OR WHEN TO FIND A DERVITIVE AND WHEN DO WE USE THIS SYMBOL FOR EXAMPLE [tex]\Delta[/tex] WHAT DOES THIS MEAN AND WHEN DO YOU USE IT

Wikipedia explains what the derivative is pictorially (tangent line).

http://en.wikipedia.org/wiki/Derivative

It also gives the mathematical deffinition as well as several rules you can apply to easily get the derivative. On reason you might want to compute the derivative is to calculate the velocity if you are given a bunch of position measurements over time.
 
  • #3
Writing everything in CAPTIALS is considered screaming and impolite, you might want to think about your manners if you're asking for help although we are in the "so-very-anonymous" internet.

Thanks.
 
  • #4
thanks

thanks for the info :)
 
  • #5
you're very welcome:smile:
 
  • #6
Why To Find Derivitives

We find derivitives to get
= quantities like VELOCITY,ACCELERATION etc. .which explains the cause of change in a quantity(like change in position due to velocity,change in velocity due to acceleration & hence indirectly changing displacement due to new velocity)

= to DERIVE differential equation(i.e. equation in terms of derivatives)
let's see what i mean..

say x = t² ('x' in terms of "t")
→ v = 2t
→ t = v/2
now x = t²
→ x = (v/2)²
→ x = v²/4 ('x' in terms of derivitive "v"). . .
 

What is a derivative?

A derivative is a mathematical concept that represents the rate of change of a function at a specific point. It tells us how much a function is changing at a given point.

Why is it important to find derivatives?

Finding derivatives is important in many areas of science and engineering. It allows us to analyze the behavior of functions and make predictions about their future values. It is also essential in optimization problems, where we try to find the maximum or minimum values of a function.

When should derivatives be calculated?

Derivatives should be calculated whenever we need to understand the behavior of a function or solve a problem involving rates of change. This could be in physics, economics, engineering, or any other field where mathematical models are used.

How do you find derivatives?

To find a derivative, we use a mathematical formula called the derivative rule, which tells us how to calculate the derivative of a function. This rule involves taking the limit of a difference quotient, which is a fraction that represents the slope of a line tangent to the function at a given point.

What are the different methods for finding derivatives?

There are several methods for finding derivatives, including the power rule, product rule, quotient rule, and chain rule. These rules have different formulas and are used for different types of functions. In some cases, we can also use basic algebraic manipulation and the rules of differentiation to find derivatives.

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