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## IndexIndex

absolute extrema
absolute maximum
absolute minimum
multivariate
optimization
absolute value
properties
asymptote
horizontal
slant
vertical
break-even point
break-even price
break-even quantity
Cartesian coordinates
central angle
chain rule
multivariate
single variable
Clairaut's theorem
completing the square
concave down, Item
concave up, Item
concavity
conics
circle
ellipse
horizontal hyperbola
horizontal parabola
standard form
vertical hyperbola
vertical parabola
consumer price index
contour map
cost
average cost
constant cost
marginal cost
total cost
variable cost
critical point
single-variable!
two-variable
cross product
properties
cylindrical coordinates
convert to rectangular
decrease
decreasing
del ($\nabla$)
delta notation
demand curve
demand equation
derivative
acceleration
exponential function
intervals of increase and decrease, Item
Leibniz notation
logarithmic function
n-th derivative
non-existence of derivative
not differentiable
of the inverse
rate of change
rules
chain rule
constant multiple rule
derivative of a constant function
implicit differentiation
logarithmic differentiation
power rule
product rule
quotient rule
sum and difference rules
second derivative
trigonometric functions
velocity
derivative notation
determinate form
difference quotient
differentiable
differentiable at a point
differentiable on an interval
differential operator
differentials
differentiation
direction vector
directional derivative
discriminant
distance formula
dot product
properties
e
fundamental limit of calculus
elasticity of demand
elastic, Item
inelastic, Item
unitary, Item
elementary function
equilibrium point
equilibrium price
equilibrium quantity
error
absolute error
measurement error
percentage error
propagation error
relative error
Euler's constant
fundamental limit of calculus
extreme value theorem
Fermat's theorem
first derivative test
fixed cost
function
composition
continuous
dependent variable
discontinuous
domain
elementary
even
exponential function
special base e
independent variable
infinite discontinuity
inverse
jump discontinuity
left continuous
linear
logarithmic function
multi-variable
natural logarithm
odd
of two variables
one-to-one
removable discontinuity
right continuous
same derivative
single-variable
symmetry
transcendental
global extrema
global extremum, Item
gradient
greatest integer
implicit differentiation
increase
increasing
indeterminate form
inequality notation
inflation rate
inflection point
intermediate value theorem
internal rate of return
intersection
interval
closed interval
open interval
irrational
L'Hôpital's rule
Lagrange multipliers
law of diminishing return
level curve
level set
level surface
limit
at infinity
indeterminate form
infinite
left-hand
multivariate function
one-sided
right-hand
line
direction vector
general form
parametric equations
point-slope form
slope
slope-intercept form
vector equation
y-intercept
linear approximation
linearization
local extremum, Item
logarithmic differentiation
marginal
marginal average cost function
marginal cost function
marginal profit function
marginal revenue function
marginal analysis
market equilibrium
equilibrium price
equilibrium quantity
mean value theorem
midpoint
multi-variable
Newton's method
stationary point, Item
unstable, Item
normal vector
number systems
complex numbers
integers
natural numbers
rational numbers
real numbers
parametric equations
partial derivatives
first-order partial derivatives
mixed partial derivatives, Item
second-order partial derivatives
partial deriviatives
first-order partial derivatives
plane
normal vector
scalar equation of plane
point of diminishing return
polar coordinates
convert to rectangular
polynomial
of two variables
predator-prey population model
production function
Cobb-Douglas production function
marginal productivity of capital
marginal productivity of labour
profit function
quadratic formula
radians
rate of change, average, Item
rate of change, instantaneous
rationalizing
related rates problems
relative demands
competitive commodities
complementary commodities
partial derivatives, Item
relative demand equations
relative extrema
multivariate, Item
relative maximum
relative minimum
revenue function
rolle's theorem
saddle point
secant line
second derivative
inflection point
second derivative test
concave down, Item
concave up, Item
concavity
relative extrema
set
single-variable
slope
measure of sensitivity
slope of secant line
difference quotient, Item
rate of change, average, Item
slope of tangent line
rate of change,instantaneous
sphere
equation of sphere
spherical coordinates
convert to rectangular
squeeze theorem
subset
supply curve
supply equation
symmetry
even
odd
tangent line
tangent line equation
tangent plane
transcendental function
transformations
triangle inequality, Item
trigonometry
amplitude, Item
arccosine
arcsine
arcsine function
arctangent
CAST rule
cosecant, Item
cosine, Item
cotangent, Item
identities
inverse sine function
inverses
period
secant, Item
sine, Item
special triangles
tangent, Item
undefined
union
unit circle
unit vector
vector
angle between
anti-parallel, Item
parallel, Item
perpendicular, Item
projection
scalar multiplication
scalar projection
sum