What is the derivative of #4pi^2#?

Answer 1

Remember that #pi = 3.1415926535 . . . # is a constant, and the derivative of a constant is #0#.

By definition, a derivative is the instantaneous rate of change, but a constant evidently does not change, so it cannot have a nonzero rate of change.

Therefore, #d/(dx)[4pi^2] = color(blue)(0)#.

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Answer 2

Samantha Adkison

The derivative of (4\pi^2) with respect to (x) is (0).

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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