AP CALCULUS AB STUDY GUIDE QUARTER EXAM QUESTIONS WITH CORRECT ANSWERS

AP CALCULUS AB STUDY GUIDE
QUARTER EXAM QUESTIONS WITH
CORRECT ANSWERS
Derivatives of Inverse Trig: sin^-1(x) - ANSWER-(1/((1-x^2)^(1/2))

Derivatives of Inverse Trig: sec^-1(x) - ANSWER-(1/(lxl (x^2-1)^(1/2))

Derivatives of Inverse Trig:cos^-1(x) - ANSWER--(1/((1-x^2)^(1/2))

Derivatives of Inverse Trig: cot^-1(x) - ANSWER--(1/(x^2+1))

Derivatives of Inverse Trig: csc^-1(x) - ANSWER--(1/(lxl (x^2-1)^(1/2))

Derivative of e^x - ANSWER-e^x

Derivative of 5*x - ANSWER-(5^x) (ln 5)

Velocity - ANSWER-s'(x)

Acceleration - ANSWER-s''(x)

Derivatives of Inverse Functions - ANSWER-1 over (x) replaced with y

Implicit Differentiation - ANSWER-Not solved for y. Must use (dy/dx)

Differentiation of Natural Log - ANSWER-1 over

Not differntiable - ANSWER-cusp, corner, hole

Parallel Tangent - ANSWER-same slope

Horizontal Tangent - ANSWER-deriviative = 0

Vertical Tangent - ANSWER-derivative = undefined
Derivative of sin(x) - ANSWER-cos(x)

Derivative of cos(x) - ANSWER--sin(x)

Derivative of tan(x) - ANSWER-sec^2(x)

Derivative of sec(x) - ANSWER-sec(x) tan(x)