Is Differentiation the Same as Finding the Derivative?

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SUMMARY

Differentiation is definitively the process of finding a derivative in calculus. When one is finding the derivative of a function, it is accurate to say that they are differentiating that function. The discussion clarifies that differentiation can also apply to both sides of an equation, reinforcing that the terms "differentiation" and "taking the derivative" are interchangeable.

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  • Understanding of basic calculus concepts
  • Familiarity with functions and equations
  • Knowledge of derivative notation
  • Basic mathematical skills
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Students learning calculus, educators teaching mathematical concepts, and anyone seeking to understand the relationship between differentiation and derivatives.

thetexan
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Derivatives
I’m am on a path of trying to learn calculus which I should have done long ago. I am making some progress. But I would like to know this...

I know what a derivative is. Is differentiation the process of finding a derivative? In other words, when I am finding the derivative can it be said that I am differentiating the equation?

Tex
 
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thetexan said:
Summary:: Derivatives

I’m am on a path of trying to learn calculus which I should have done long ago. I am making some progress. But I would like to know this...

I know what a derivative is.
You don't. This term leads to an entire world and I doubt that you already know it.
Is differentiation the process of finding a derivative?
Yes.
In other words, when I am finding the derivative can it be said that I am differentiating the equation function?
Yes.
 
thetexan said:
Summary:: Derivatives

I’m am on a path of trying to learn calculus which I should have done long ago. I am making some progress. But I would like to know this...

I know what a derivative is. Is differentiation the process of finding a derivative? In other words, when I am finding the derivative can it be said that I am differentiating the equation?

Tex

You normally differentiate a function, but you can also differentiate both sides of an equation. In any case differentiation is another name for taking the derivative.
 
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