what is the difference between differentiation and derivatives?
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Differentiation is a process of finding the differentials or derivatives.Derivatives are the results of performing the process of differentiation with respect to other usually one variable at a time...sometimes second order derivatives are also used(differentiation 2 variables at a time)
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let f(x) be a function .
The process : d/dx ( f(x) ) is called : Differentiation of f(x) with respect to x .
The result : d/dx f(x) = f'(x) is called : Derivative of f(x) with respect to x.
Example :
f(x) = x^2
The process you use to get d/dx ( x^2 ) is called differentiation .
The result that you obtain - ( 2x ) - is called the derivative .
So
Q1 ) Find dervative of x^2 .
is same as
Q2 ) Differntiate x^2 .
The process : d/dx ( f(x) ) is called : Differentiation of f(x) with respect to x .
The result : d/dx f(x) = f'(x) is called : Derivative of f(x) with respect to x.
Example :
f(x) = x^2
The process you use to get d/dx ( x^2 ) is called differentiation .
The result that you obtain - ( 2x ) - is called the derivative .
So
Q1 ) Find dervative of x^2 .
is same as
Q2 ) Differntiate x^2 .
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