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Introduction to Computing Derivatives - At A Glance:

The first kind of function is a constant function.

If f(x) = C for some constant C, then f'(x) = 0.

Constant functions have a slope of zero. On a graph, a constant function is a straight vertical line. It doesn't matter if we pick f(x) = 3 or f(x) = -10, or f(x) = π, or any other constant, the result would be the same. Zero. We like.

Exercise 1

What is the derivative of the function f(x) = 5?

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