Applied Calculus

$u$-substitution, Subsection

acceleration, Item

area

area-between, Assemblage

average rate of change, Assemblage

average value, Assemblage

average value of a function, Subsection

chain rule, Assemblage

concavity, Paragraph

continuous, Subsection

critical number, Assemblage

critical point, Assemblage

critical value, Assemblage

cusp, Item

decreasing, Assemblage Paragraph

definite integral

derivative

differentiable, Item Subsection

evaluating the function, Paragraph

extreme value, Paragraph

extreme value theorem, Assemblage Assemblage

first derivative test, Assemblage

function, Assemblage

fundamental theorem of calculus, Subsection

horizontal line test, Assemblage

implicit differentiation, Subsection

implicit function, Paragraph

increasing, Assemblage Paragraph

inflection point, Assemblage

input, Assemblage

instantaneous rate of change, Paragraph Paragraph

integral sign, Paragraph

integrand, Paragraph

inverse functions, Assemblage

Invertible Function, Assemblage

lemniscate, Paragraph

limit

limits of integration, Paragraph Paragraph

maximum

minimum

natural base, Paragraph

natural logarithm, Paragraph Assemblage

net signed area, Paragraph

nth derivative

output, Assemblage

parameters, Note

piecewise, Paragraph

product rule, Assemblage

quotient rule, Assemblage

Riemann sum, Paragraph

second derivative

second derivative test, Assemblage

sigma notation, Paragraph

slope, Assemblage

slope-intercept form, Paragraph

tangent line

tangent line approximation

The Logarithm, Assemblage

total change theorem, Subsection Assemblage

two-parameter, Note