AP Calculus Review #1 (Limits and Derivatives)

Front

What is the derivative of cos(x)?

Back

-sin(x)

Front

What is the limit of the function as x approaches 2 if the function is not defined at that point?

Back

DNE (Does Not Exist)

Front

Find the second derivative of the function: f(x) = 2x - 5x^6.

Back

f''(x) = -150x^4

Front

What is the limit of a function that approaches 20 as x approaches a certain value?

Back

20

Front

What is the derivative of cot(x)?

Back

-csc^2(x)

Front

Define a limit in calculus.

Back

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

Front

What is the derivative of sin(x)?

Back

cos(x)

Front

What is the power rule for derivatives?

Back

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

Front

What is the product rule for derivatives?

Back

If u(x) and v(x) are functions, then (uv)' = u'v + uv'.

Front

What is the quotient rule for derivatives?

Back

If u(x) and v(x) are functions, then (u/v)' = (u'v - uv')/v^2.