AP Calculus AB Exams and Practice Questions with Solutions

AP CALCULUS AB Midterm Exam With Answers 2024 Find the Zeros - Answer>>f(x)=0 Find the equation of the line tangent to f(x) at (a,b) - Answer>>Get x and y. Get the slope at x. y-y1=m(x-x1) Find the equation of the line normal to f(x) - Answer>>negative reciprocal. Sho...

AP Calculus AB Study guide

AP Calculus Flash Cards

AP Calculus AB Final Exam Review Find the zeros of f(x). - Answer>>Set the function equal to 0. Factor or use quadratic formula (if quadratic). Or, use a graphing calculator, with 2nd TRACE. Find the intersection of f(x) and g(x). - Answer>>Set the two functions equal to each othe...

AP Calculus AB Comprehensive Exam Review with Answers limit - Answer>>value approached but not necessarily reached. The value must approached the same thing from both sides. Instantanious Rate of Change (IROC) - Answer>>f '(x), slope of tangent line Continuity - Answer>>A...

AP Calculus AB: Formulas to Know limit defenition of derivative alternate definition of derivative of f(x) at c f(x) is continuous when... f(x) is differentiable at x=c when f prime of x as x aproaches c from the left = f prime of x as a x approaches c from the right power rule

AP Calculus AB Review Chapter. 1-3 Intermediate Value Theorem - Answer>>If f(1)=-4 and f(6)=9, then there must be a x-value between 1 and 6 where f crosses the x-axis. Average Rate of Change - Answer>>Slope of secant line between two points, use to estimate instantanous rate of cha...

AP Calculus AB Study Guide Units 1-8 What is the definition of a derivative? What does the intermediate value theorem state? If the function f(x) is continuous on [a,b], and y is a number between f(a) and f(b), then there exists at least one number x=c in the open interval (a,b) such that f(...

AP Calculus AB chapter 1 Exam Review signs of a and b are the same - Answer>>a/b > 0 when a =b or -a=b - Answer>>|a| = b when a>b or a<-b - Answer>>|a|> b when -b<a<b - Answer>>|a|<b when {x, x≥0 {-x, x <0 - Answer>>|x| equa...

AP Calculus AB Final: Multiple Choice Questions with Answers Find all points of relative minima and maxima: y = x^2 + 6x + 5 - Answer>>minima at (-3, -4) Find all points of relative minima and maxima: y = -12/(x^2 + 3) - Answer>>minima at (0, -4) Find the open intervals wh...

AP Calculus AB Practice Questions with Solutions When you are taking the derivative and there are two things being multiplied together.... - Answer>>Product Rule If the function is increasing, then the first derivative is... - Answer>>positive. If they ask you to find f '(#), w...

AP Calculus AB - Final Exam Study Guide Definition of a Derivative - Answer>>f'(x) = lim (h goes to zero) [(f(x+h) - f(x))/h] Alternate Form of a Derivative - Answer>>f'(a) = lim (x goes to a) [(f(x) - f(a))/(x-a)] Constant Rule (Definition) - Answer>>If f(x) = c, where ...