AP Calculus AB

Front

When is the function f(x)=x²+6x+9 increasing?

Back

The function f(x)=x²+6x+9 is increasing on the interval (-3,∞).

Front

What does f''(4)=0 indicate about x=4?

Back

f''(4)=0 indicates that x=4 is an inflection point.

Front

What does g'(-2)=0 indicate about x=-2?

Back

g'(-2)=0 indicates that x=-2 is a critical point.

Front

Find the limit of the function as x approaches 2: lim (x→2) f(x) = ?

Back

DNE (Does Not Exist).

Front

What is the definition of a critical point?

Back

A critical point is where the derivative of a function is zero or undefined.

Front

What is the definition of an inflection point?

Back

An inflection point is where the function changes concavity.

Front

What is the Fundamental Theorem of Calculus?

Back

The Fundamental Theorem of Calculus links the concept of differentiation and integration.

Front

What is the derivative of f(x)=x³?

Back

f'(x)=3x².

Front

What is the power rule for differentiation?

Back

If f(x)=x^n, then f'(x)=n*x^(n-1).

Front

What is the definition of a limit?

Back

A limit is the value that a function approaches as the input approaches a certain value.