AP CALCULUS VOCABULARY Crossword

The derivative of the product of two functions is: f(x)g'(x) + g(x)f'(x)
This differentiation is used when y cannot be expressed explicitly in terms of x.
The highest point on a function
The derivative of any constant is 0 this the _____ rule.
A concave ____ curve holds water
When integrating, f(x) is the
This kind of line joins two points of a curve.
Represents the height of the rectangle at the point (c,f(c))
The absolute value of velocity
This kind of velocity is represented by a tangent line.
Used to find the area under a curve via summing up rectangles
Formula for the slope of a tangent line to a function on any point x of that function
A function is ____ when the y-value increases as the x-value increases
A function is this when the y-value decreases as the x-value increases
Functions such as e^x and ln(x) are
The difference in distance between where you start and where you stop
The derivative of cosine
The derivative of acceleration is
This type of line touches the curve at one point only.
What happens to y as x gets close to a certain value
The derivative of position
The rate of change of velocity is
[f(g(x))] '= f'(g(x)) * g'(x)
When integrating, a and b are the ____ of integration
When two curves meet at a sharp point
Greek symbol which means "change in..."
Line or curve which a function approaches without ever actually touching or crossing
An integral with limits of integration is considered to be
The slope of the line tangent to a function at any point on the function
A point at which the curve begins to change concavity is an ___ point
(Abbreviated) States that between 2 different values exists a value
Inverse process to differentiation
The process of taking anti-derivatives
Term referring to a function in which the highest power appears in the numerator
Term referring to a function in which the highest power appears in the denominator
Used in exchange with the word ABSOLUTE
Process used to approximate the tangent line at a certain point
Set of all real numbers between two given numbers
A line is ____ when it is perpendicular to a function
The type of differentiation used when y is expressed in terms of x
d/dx[x]=
The derivative of the quotient of two functions is found using the
d/dx [f(x) * g(x)]= f(x) * g'(x) + g(x) * f'(x)