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What is the derivative of f(x) = 6?

a) 0
b) 6
c) 1
d) Undefined

1 Answer

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Final answer:

The derivative of f(x) = 6 is 0.

Step-by-step explanation:

The derivative of f(x) = 6 is 0.

The derivative of a constant function is always 0. In this case, f(x) = 6 is a constant function as it does not depend on x. Therefore, the derivative of f(x) is 0.

Derivative of a Constant Function

The question asks for the derivative of the function f(x) = 6. This is an example of a constant function, where the value of the function does not change regardless of the input value for x.

The derivative of a constant function is always 0 because the slope of its graph, which is a horizontal line, is zero. In other words, there is no change in the value of the function as x changes.

The correct option is a) 0

User ThiagoLeal
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