AP Calculus AB - Unit 2 Review

Front

What is the derivative of sin(x)?

Back

cos(x)

Front

What is the derivative of cos(x)?

Back

-sin(x)

Front

What is the average rate of change of f(x) = x^2 on the interval [1,3]?

Back

4

Front

What is the derivative of tan(x)?

Back

sec^2(x)

Front

What is the derivative of cot(x)?

Back

-csc^2(x)

Front

What is the derivative of sec(x)?

Back

sec(x)tan(x)

Front

What is the derivative of csc(x)?

Back

-csc(x)cot(x)

Front

What is the quotient rule for derivatives?

Back

If f(x) = g(x)/h(x), then f'(x) = (g'h - gh')/h^2.

Front

What is the product rule for derivatives?

Back

If f(x) = g(x)h(x), then f'(x) = g'h + gh'.

Front

What is the chain rule for derivatives?

Back

If f(g(x)), then f'(g(x)) = f'(g(x))g'(x).