Cracking The Ap Calculus ab Exam 2018

A point discontinuity occurs when the curve has a “hole” in it from a missing point because the function ...

A removable discontinuity occurs when you have a rational expression with common factors in the numerato ...

This curve looks very similar to a point discontinuity, but notice that with a removable discontinuit ...

This is an example of a point discontinuity. Example 7: Consider the following function: f(x) = . The fun ...

Example 8: Consider the following function: If you factor the top and bottom, you can see where the discontinuities ar ...

PROBLEM 2. Is the function f(x) = continuous at x = 1? Answer: Condition 1: f(1) = 9. Condition 2: ...

and parentheses do not. For example, the interval 2 ≤ x ≤ 4 is written [2, 4] and the interval 2 < ...

8.Given the graph of f(x) above, find (a) f(x) (b) f(x) (c) f(x) (d) f(x) (e)f(3) (f)Any discontinuities. ...

Chapter 5 The Definition of the Derivative ...

The main tool that you’ll use in differential calculus is called the derivative. All of the problems that ...

You probably remember your teachers referring to the slope as the “rise” over the “run.” The rise is ...

The picture is exactly the same—only the notation has changed. The Slope of a Curve Suppose that instead of findi ...

The formula for the slope of the secant line is Remember this formula! This is called the Difference Quoti ...

In fact, there is one line, called the tangent line, that touches the curve at exactly one point. The slope ...

Keep in mind that there are infinitely many tangents for any curve because there are infinitely many ...

and f(x) = 25. This time, (x 1 + h)^2 = (5 + h)^2 = 25 + 10h + h^2 Now plug this into th ...

DIFFERENTIABILITY One of the important requirements for the differentiability of a function is that the functi ...

The slope of the curve at the point (4, 48) is 24. PROBLEM 2. Find the derivative of f(x) = 3x^2. Answer: f( ...

Notice that this one doesn’t cancel as conveniently as the other problems did. In order to simplify ...

8.f (x) = −3x^3 9.f (x) = x^5 10.f(x) = 2 at x = 9 11.f(x) = 5 at x = 8 12.f(x) = sin x at x = 1 ...