Calculus 1 Final Review

Front

What is the integral of sec²x?

Back

tanx + C

Front

What should 'du' equal in the integral of tanx?

Back

tanx secx dx

Front

What is the derivative of f(x) = tanx cosx?

Back

f'(x) = sec²x cosx - tanx sinx

Front

The set of all possible values of x is called the __________ of the function.

Back

Domain

Front

What is the second derivative test used for?

Back

To determine the concavity of a function and identify local extrema.

Front

What does it mean for a function to be increasing?

Back

A function is increasing if its derivative is positive over an interval.

Front

What is the Fundamental Theorem of Calculus?

Back

Front

What is the limit definition of a derivative?

Back

Front

What is the chain rule in differentiation?

Back

Front

What is the product rule in differentiation?

Back