If f(x) is decreasing, then f'(x) is?
f”(x) = negative
If f(x) is a differentiable function and it is decreasing, then its derivative, f'(x), must be negative.
This is because the derivative of a function measures the rate of change of the function at any given point. If the function is decreasing, then its rate of change must be negative, as it is decreasing at a certain rate. Therefore, the derivative function, f'(x), which measures the rate of change of the original function, must also be negative.
In summary, when a function f(x) is decreasing, its derivative, f'(x), is negative.
More Answers:
Why F'(X) Being Increasing Implies That F”(X) Is Positive? | Explanation And ExampleConcave Down Functions: The Role Of Second Derivative F”(X)
Concave Up Functions: The Relationship Between Second Derivative And Graph Shape
Error 403 The request cannot be completed because you have exceeded your quota. : quotaExceeded