AP Calculus Proficiency Test 1

Properties of Logarithms : ln xy = lnx + lnyln x/y = lnx - lnyln x^z = z lnx

Unit Circle :

Intermediate Value Theorem : If f is continous on the closed interval [a,b]. f(a) is not equal to f(b), and k is any number between f(a) and f(b), then there is at least one number c in [a,b] such that f(c) = k

Definition of derivative :

Derivative of exponential function : e^x

Derivative of [ln u] : (1/u)(u')

Limit as x approaches zero of Sinx over x : 1