AP CALCULUS AB SEMESTER 1 FINAL
EXAM REVIEW | COMPLETE STUDY
GUIDE, PRACTICE QUESTIONS & HIGH-
YIELD NOTES 2026| GRADED A+ |
GUARANTEED SUCCESS
Updated 2026 Questions and Answers | 100% Verified
Exam Prep and Comprehensive Rationales Included
, when is a function odd? when it is symmetric about the origin
(x,y) to (-x,-y)
How do you find the absolute maximum and absolute Find all critical numbers (x values) inside the interval
minimum of a function using the closed interval method?
Find the value of the function (y values) at these critical numbers
Find the value of the function at the endpoints of the interval
The largest and smallest values found are the absolute maximum and minimum
what are points of inflection? maximums and minimums on the graph of the first derivative
where do points of inflections occur? where concavity changes sign
How do you write a linear approximation (equation of the use the following equation:
tangent) and use it to approximate the value of a y - ________ = _______(x-________)
function)
put the values of x and y into the equation
take original function and find the derivative of it
put x into the derivative to find slope
put the slope into the equation and you have found the equation
*if it asks you to find the value of a function at a certain x value, put that x value
into the equation you just made and solve for the value of the function
example of writing a linear approximation and Y - -1 = _____ (x - 1) *found y value by putting x value into original function
approximating the value of a function
Derivative: 4x + 1
If y = 2x2 + x - 4, find the equation of the tangent when x =
1. Want equation at x = 1 so put 1 into the derivative
4(1) + 1 = 5
Equation: y + 1 = 5(x-1)
find the antiderivative: F(x) = -cos x + c
f(x) = sin x
find the antiderivative: F(x) = (X^n+1)/n+1 + c
f(x) = x^n
find the antiderivative: F(x) = -1/2 x^-2 + c
x^-3
EXAM REVIEW | COMPLETE STUDY
GUIDE, PRACTICE QUESTIONS & HIGH-
YIELD NOTES 2026| GRADED A+ |
GUARANTEED SUCCESS
Updated 2026 Questions and Answers | 100% Verified
Exam Prep and Comprehensive Rationales Included
, when is a function odd? when it is symmetric about the origin
(x,y) to (-x,-y)
How do you find the absolute maximum and absolute Find all critical numbers (x values) inside the interval
minimum of a function using the closed interval method?
Find the value of the function (y values) at these critical numbers
Find the value of the function at the endpoints of the interval
The largest and smallest values found are the absolute maximum and minimum
what are points of inflection? maximums and minimums on the graph of the first derivative
where do points of inflections occur? where concavity changes sign
How do you write a linear approximation (equation of the use the following equation:
tangent) and use it to approximate the value of a y - ________ = _______(x-________)
function)
put the values of x and y into the equation
take original function and find the derivative of it
put x into the derivative to find slope
put the slope into the equation and you have found the equation
*if it asks you to find the value of a function at a certain x value, put that x value
into the equation you just made and solve for the value of the function
example of writing a linear approximation and Y - -1 = _____ (x - 1) *found y value by putting x value into original function
approximating the value of a function
Derivative: 4x + 1
If y = 2x2 + x - 4, find the equation of the tangent when x =
1. Want equation at x = 1 so put 1 into the derivative
4(1) + 1 = 5
Equation: y + 1 = 5(x-1)
find the antiderivative: F(x) = -cos x + c
f(x) = sin x
find the antiderivative: F(x) = (X^n+1)/n+1 + c
f(x) = x^n
find the antiderivative: F(x) = -1/2 x^-2 + c
x^-3
