AP Calculus Review #1 (Limits and Derivatives)

Front

What is the limit of a function as x approaches a value?

Back

The limit of a function as x approaches a value is the value that the function approaches as x gets closer to that value.

Front

What does DNE stand for in the context of limits?

Back

DNE stands for 'Does Not Exist', indicating that a limit does not approach a finite value.

Front

What is the derivative of a function?

Back

The derivative of a function represents the rate of change of the function with respect to its variable.

Front

What is the derivative of tan(x)?

Back

sec²(x)

Front

What is the derivative of sin(x)?

Back

cos(x)

Front

What is the derivative of -cot(x)?

Back

csc²(x)

Front

What is the derivative of cos(x)?

Back

-sin(x)

Front

What is the limit of a constant function?

Back

The limit of a constant function as x approaches any value is the constant itself.

Front

What is the Squeeze Theorem?

Back

The Squeeze Theorem states that if f(x) ≤ g(x) ≤ h(x) for all x in an interval and the limits of f(x) and h(x) as x approaches a value are equal, then the limit of g(x) as x approaches that value is also equal to that limit.

Front

What is the power rule for derivatives?

Back

The power rule states that if f(x) = x^n, then f'(x) = n*x^(n-1).