AP CALCULUS AB SEMESTER 1 FINAL EXAM REVIEW CALCULUS COURSE 2025/2026 | QUESTION BANK | VERIFIED QUESTIONS AND ANSWERS GRADED A+ | LIMITS, DERIVATIVES & FUNDAMENTAL THEOREMS STUDY GUIDE | GUARANTEED SUCCESS

AP CALCULUS AB SEMESTER 1 FINAL EXAM REVIEW

CALCULUS COURSE 2025/2026 | QUESTION BANK |

VERIFIED QUESTIONS AND ANSWERS GRADED A+ |

LIMITS, DERIVATIVES & FUNDAMENTAL THEOREMS

STUDY GUIDE | GUARANTEED SUCCESS

Derivative: 4x + 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) = sin x - CORRECT ANSWER -F(x) = -cos x + c



find the antiderivative:

,f(x) = x^n - CORRECT ANSWER -F(x) = (X^n+1)/n+1 + c



find the antiderivative:



x^-3 - CORRECT ANSWER -F(x) = -1/2 x^-2 + c

when is a function even? - CORRECT ANSWER -when it is symmetric
about the y axis



(x,y) to (-x,y)



when is a function odd? - CORRECT ANSWER -when it is symmetric
about the origin



(x,y) to (-x,-y)



How do you find the absolute maximum and absolute minimum of a
function using the closed interval method? - CORRECT ANSWER -Find
all critical numbers (x values) inside the interval



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? - CORRECT ANSWER -maximums and
minimums on the graph of the first derivative



where do points of inflections occur? - CORRECT ANSWER -where
concavity changes sign



How do you write a linear approximation (equation of the tangent) and use it
to approximate the value of a function) - CORRECT ANSWER -use the
following equation:

y - ________ = _______(x-________)



put the values of x and y into the equation



take original function and find the derivative of it