what is the difference between derivative and differentiation?

Question

what is the difference between derivative and differentiation?

Answer 1

the derivative is the result you obtain when you perform a differentiation operation

for example, if f(x) =sin x >>>>>>>>> perform the differentiation-you then get cos x as a result

the derivative of sin x is therefore cos x

the differentiation is the operation you have to perform to obtain the derivative

i hope this helps

Answer 2

Yes, differentiation is the process of finding the gradient of a polynomial at any give x value. Yes, the derivative is what you get from differentiation. You need not be confused even if different terms are used. Given y = f(x), there are other notations for the derivative apart from dy/dx, namely: y' f ' f ' (x) d/dx d(f)/dx d[f(x)]/dx All of these notations mean the same thing: the derivative of the function y=f(x). Also, you need to learn that there's not just one, but quite a few rules of differentiation: (1) The Derivative of a Constant Function: Given; y = k, where k is a constant dy/dx = 0 (2) The Derivative of a Constant Times a Function: Given: y = k*f(x) dy/dx = k*f ' (x) (3) The Power Function Rule: Given: y = x^n dy/dx = n * x^(n - 1) (4) The Product Rule: Given: y = u(x) * v(x) dy/dx = u*v' + v*u' (5) The Quotient Rule: Given: y = u/v dy/dx = (v*u' - u*v') / v^2 (6) The Generalized Power Function Rule: Given: y = [g(x)]^n dy/dx = n * g^(n - 1) * g'

Answer 3

Derivative is a noun while differentiation has a verbal meaning:It is the mathematical process of obtaining the derivative of a function

Answer 4

The derivative of a function is derived from differentiation of the function.

Answer 5

differentiation is a process and derivation is the result obtained by the answer of differentiation

Answer 6

Differentiation is the process used to obtain the derivative of a function.

For example, I differentiate f(x)=x^2 to obtain its derivative, f'(x)=2x.

Answer 7

This is kind of a question of semantics: differentiation is the mathematical process you employ in order to determine the derivative of a function.

Answer 8

derivative means to derive, differentiation means how are things different.although there is possibilities where you can get different deriviatives from different differentiatons.different derivatives can also be derived at differently.

Answer 9

differentiation is the process of determining a functions derivative.

Answer 10

Differentialtion is the process, the derivative is the result.