Derivative Vocabulary

Front

A vertical tangent is ___

Back

Undefined

Front

A function is not differentiable at x=c if the function is __________ at x=c.

Back

not continuous

Front

The derivative at x=3 is closest to __

Back

-1

Front

The derivative of a horizontal tangent is equal to __

Back

0

Front

How many Horizontal Tangents on the interval [-2,3]?

Back

2

Front

The definition of a derivative is ___

Back

The limit of the average rate of change of a function as the interval approaches zero.

Front

If a function is continuous at x=c, it is ___ differentiable at x=c.

Back

not necessarily

Front

The slope of the tangent line at a point on a curve is given by __

Back

The derivative of the function at that point.

Front

A point where the derivative does not exist is called a __

Back

Critical point.

Front

If f'(x) > 0 on an interval, then f(x) is __ on that interval.

Back

Increasing.