Cracking The Ap Calculus ab Exam 2018

Unit 1 Differential Calculus Essentials ...

Chapter 3 Limits ...

WHAT IS A LIMIT? In order to understand calculus, you need to know what a “limit” is. A limit is t ...

Example 1: Find x^2. The approach is simple: Plug in 5 for x, and you get 25. Example 2: Find x^3. Here ...

Example 4: Find . If you plug in some very small values for x, you’ll see that this function approa ...

You can see that on the left side of x = 0, the curve approaches −∞, and on the right side of x = ...

the right. But when we have , the function’s sign depends on the sign of x, and you get a different limi ...

Example 8: Find . When you have variables in both the top and the bottom, you can’t just plug ∞ into ...

The other powers don’t matter because they’re all going to disappear. Now we have three new rules for evaluati ...

calculus requires that you remember all of your trig from previous years. Rule No. 1: = 1 ( ...

substitute a letter for 3x; for example, a. Now, we get the following: = 3(1) = 3 Example 12: Find . Now w ...

Here are other examples for you to try, with answers right beneath them. Give ’em a try, and check ...

get this: . Now it’s time to cancel like terms: = −2. PROBLEM 5. Find . Answer: Divide each term ...

Taking the limit, you get (10 + h) = 10. Note: Pay careful attention to this next solved problem. It ...

10. = 11. = 12.Let f(x) = Find: (a) f(x); (b) f(x); and (c) f(x) 13.Let f(x) = Find: (a) f(x); (b) ...

22.Find . ...

Chapter 4 Continuity ...

Every AP Exam has a few questions on continuity, so it’s important to understand the basic idea of what ...

Condition 3: Does f(x) = f(2)? The two equal each other, so yes; the function is continuous at x = ...

The left-hand limit is: f(x) = 2 + 1 = 3. The right-hand limit is: f(x) = 2(2) − 1 = 3. Becaus ...