Calculus Crossword Puzzle

Across
1.	discontinuity When a function goes from one point to another
5.	sqrt -x
8.	value theorem If a function f(x) is continuous on a closed interval [a b] then f(x) has both a maximum and minimum value on [a b]
9.	a curve that resembles a heart
10.	∑ x
11.	There are two main type: differential and integral
12.	Smallest value of a function
16.	asymptote Function approaching a y value but never reaches
18.	y²=x³
20.	negating the second term of a binomial
22.	A whole number that is not a fraction
23.	The slope of the line tangent to a function.
26.	Number multiplied by a value to get 1
31.	Quotient
34.	Product
35.	y' = dy/dx
37.	value theorem f'(c)= f(b)-f(a)/b-a
38.	extrema A point where the graph has a peak or a valley
39.	rule (uv)= u'v + uv'
43.	Curved inwards
44.	rule g(f') - f(g') / g²
45.	A point at which the graph is not continuous
46.	The value that a function approaches as the domain variable approaches a specific value.
47.	A quantity representing the power to which a fixed number (the base) must be raised to produce a given number
49.	number The x value of a critical point

Down
2.	Largest value of a function
3.	tangent Straight line that touches a function at only one point
4.	rates Rates of change are related by differentiation.
6.	Sum
7.	value Distance between a number and the origin
13.	2 axis chart used to plot points
14.	4/3 πr^3
15.	You get the product by multiplying these two
17.	The rate of change of velocity over time
19.	When the graph of a function is continuous
21.	Each input has a single output
24.	A point or value that marks the end of a ray or one of the ends of a line segment or interval
25.	A letter that represents unspecified numbers.
27.	y = x2 – 3
28.	notation Adding up a series of variables
29.	hospital Finding the derivative of the numerator and denominator to evaluate the limit of a function.
30.	obtaining the derivative of a function
32.	x/0
33.	Rate of change
36.	of change Ratio between a change in one variable relative to another
40.	x values
41.	e
42.	Difference
48.	y values
49.	rule f'(g(x))g'(x)