## If f(x) is decreasing, then f'(x) is?

### f”(x) = negative

If f(x) is a decreasing function, it means that as the input variable x increases, the output values of the function f(x) decrease. In other words, the slope of the tangent line to the graph of f(x) is negative for all points on the function.

Now, the derivative f'(x) represents the slope of the tangent line to the graph of f(x) at any given point x. If the function is decreasing, then the slope of the tangent line is negative, meaning that f'(x) is negative for all values of x.

Therefore, we can conclude that if f(x) is decreasing, then f'(x) is negative.

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