Dabo CalcAB Sem1 FINAL Day2

Front

What are jump discontinuities?

Back

Jump discontinuities occur when the left-hand limit and right-hand limit of a function at a certain point exist but are not equal, causing a 'jump' in the graph.

Front

At what values of 'x' are the jump discontinuities for the function in the example?

Back

x = -1, 0, 1.

Front

What is the integral of a function?

Back

The integral of a function represents the area under the curve of that function on a given interval.

Front

What does h'(3) represent in calculus?

Back

h'(3) represents the derivative of the function h at the point x = 3, indicating the slope of the tangent line to the graph of h at that point.

Front

What is the limit of a function?

Back

The limit of a function describes the value that the function approaches as the input approaches a certain value.

Front

What does @@ ext{lim}_{x ightarrow a}f(x)=3@@ mean?

Back

It means that as x approaches 'a', the function f(x) approaches the value 3.

Front

Back

Front

What is the product rule in differentiation?

Back

Front

What is the chain rule in differentiation?

Back

Front

What is the significance of the derivative at a point?

Back

The derivative at a point gives the instantaneous rate of change of the function at that point, which can be interpreted as the slope of the tangent line.