Calc135 Final Review

Front

What does it mean when a graph is increasing?

Back

When a graph is increasing, the function's derivative is positive.

Front

What does it mean when a graph is decreasing?

Back

When a graph is decreasing, the function's derivative is negative.

Front

What is the relationship between a function's derivative and its graph?

Back

If a function's derivative is positive, the graph is increasing; if negative, the graph is decreasing.

Front

What is a local maximum?

Back

A local maximum occurs at a point where the derivative changes from positive to negative.

Front

What is a local minimum?

Back

A local minimum occurs at a point where the derivative changes from negative to positive.

Front

What is a stationary point?

Back

A stationary point is where the derivative of a function is zero.

Front

Back

It indicates that the function f(x) is increasing.

Front

Back

It indicates that the function f(x) is decreasing.

Front

How do you evaluate a definite integral?

Back

To evaluate a definite integral, find the antiderivative of the function and apply the Fundamental Theorem of Calculus.

Front

What is the Fundamental Theorem of Calculus?

Back