### Calculus Puzzle

This puzzle has simple problems, theorums, and properties that are an integral part (no pun intended) of calculus.

A few words on notation.

3x^2 = threexsquared 3 = three 0 = zero sin x = sinx sin 2x = sintwox sin^2 x = sinsquaredx 1/x = oneoverx 1/(x-1) = oneoverxminus1 infinity = infinity

NOTE: For all indefinite integrals, forget about the + C. NOTE: For all true/false questions, I changed the wording a bit. I will give you a positive/negative expression: IE: True/False, Yeah/Nope, Yay/Nay, and you have to pick the correct one.

 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28

Across
3.The slope of the tangent line is also known as this.
6.Find the antiderivative: y = 0
7.Yes/No: the derivative of the integral of f(x) is simply f(x).
9.(b-a)/2n[f(x0) + 2f(x1) + 2f(x2)...+ f(xn)] is the general formula for which rule.
11.Find dy/dx: y= 4x^3
13.The derivative represents the average ____ of change.
14.Functions that either increase or decrease along its entire domain are called ________.
20.The second derivative of position is this.
21.True/False: Rolles theorum states that the integral of f(x) is equal to the area of f(x) along a specified interval.
22.Yeah/Nope The trapezoidal rule is the exact value for the area under the curve.
23.Aff/Neg: The limit definition to find area using "n" subintervals, as n approaches infinity, is an accurate measure of the area under the curve on a specified interval
24.If the second derivative is positive along that interval, the graph of the function is always this.
26.Find dy/dx: y = 900000000000000
27.The horizontal asymptote of f(x) is the limit as x approaches what value?
Down
1.You are given dy/dx: What test do you use to find increasing and decreasing intervals of f(x)?
2.Aff/Neg: Reimann sums measure the slope of the tangent line
4.The Integral of a function is equal to its _______ + C.
5.When the first derivative is negative at the left of the critical point and positive at the right of the critical point, the critical point is a relative ___________.
8.Find dy/dx: ln x
10.A functious is not continous if its left hand limit does not _____ its right hand limit.
12.Find the antiderivative: y = 1
15.Find the area under the curve y = 3x^2 on the interval [-1,1]
16.Yeah/Nope: not every function has an inverse.
17.Find dy/dx: y = 3
18.The antiderivative of cos (3x) is this.
19.The area under the curve for f(x) is found by using this process.
22.Yay/Nay: The mean value theorum states that only monotonic functions have an inverse.
25.If the second derivative is zero the seconcd derivative test _____.
26.find d^2y/dx: y = 3x
28.True/False: the derivative of position is velocity

Use the "Printable HTML" button to get a clean page, in either HTML or PDF, that you can use your browser's print button to print. This page won't have buttons or ads, just your puzzle. The PDF format allows the web site to know how large a printer page is, and the fonts are scaled to fill the page. The PDF takes awhile to generate. Don't panic!

 Web armoredpenguin.com