What does the first derivative test tell you?

Answer 1

Growing or decreasing intervals of function and stationary points
#f´>0# function is growing, #f´^<0# function is decreasing and #f´=0# function has a minimum, maximum (and perhaps inflection points)

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Answer 2

The first derivative test is used to determine whether a point on a function is a local maximum, local minimum, or neither. If the derivative of a function changes from positive to negative at a point, that point is a local maximum. If the derivative changes from negative to positive at a point, that point is a local minimum. If the derivative does not change sign (from positive to negative or negative to positive) around a point, then that point is neither a local maximum nor a local minimum.

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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.

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.

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.

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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