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MATH PUZZLE

Across
Any point at which any point of a function is largest or smallest
1.Created by compiling the inverse operations in reverse order 2. A function that reverse or undoes another function
Tangent line
ESTIMATING DERIVATIVES OF A FUNCTION AT A POINT
INSTANTANEOUS RATE OF CHANGE SLOPE OF TANGENT LINE
One where the derivative is either 0 or undefined
Rectangle whose top right corner is on the curve
The difference between the lowest and highest values
A formula for the slope of the tangent line to that function at any point x
A point at a curve at which a change in the direction of curvature occurs
Relationships Between Infinite Limits and Vertical Asymptotes
if h(x) is less than or equal to g(x) is less than or equal to f(x) when x is near a except a possibly at a and lmf(x)= lm h(x)=1, then lm g(x)=1
DERIVATIVE WITH RESPECT TO TIME
TRAPEZOID RULE
1. Find f'(c)=0 2.Plug c into f'(x) -f"(c)<0 Relative Min -f''(c)<0 Relative Max -f''(c)=0 Inclusive (test fails)
SINGLE VARIABLE RULE
slope= m and goes through the point (x,y)
If a function is... 1. continuous 2. Differentiable from (a,b)
1. Critical values for 2nd derivatives 2.f"(x)=0 or undefined 3.Points where the graph changes concavity
The set of inputs accepted by the function
cf'(x)
Down
A certain kind of approximation of an integral by a finite sum
f'(x) plus or minus g'(x)
lodhi-hidlo/(lo)^2
The value that a function approaches as the input approaches some value
A function f is continous at x=c if all three of the followng holds: 1.lim f(x) exists 2. f(c) exists 3. lim f(x)= f(c)
INTERVALS OF CONCAVE UP AND CONCAVE DOWN
Derivative outside(leave inside)*derivative inside
0
FIRST DERIVATIVE TEST
Height of each rectangle is equal to the value of the function at the midpoint of its base
M=rise/run
Rectangle whose top left corner is on the curve
Secant Line: A straight kine connecting 2 points on a curve Tangent Line: A straight line that touches a curve at one point that matches the slope of the curve at the point
DERIVATIVE OF INVERSE FUNCTIONS
local linear approximation