Calculus Volume 1

# Index

F
Fermat’s theorem4.3 Maxima and Minima
folium of Descartes3.8 Implicit Differentiation
Fundamental Theorem of Calculus5.3 The Fundamental Theorem of Calculus
Fundamental Theorem of Calculus, Part 15.3 The Fundamental Theorem of Calculus
Fundamental Theorem of Calculus, Part 25.3 The Fundamental Theorem of Calculus
I
implicit differentiation3.8 Implicit Differentiation
increasing on the interval II1.1 Review of Functions
indefinite integral4.10 Antiderivatives
independent variable1.1 Review of Functions
indeterminate forms4.8 L’Hôpital’s Rule
infinite discontinuity2.4 Continuity
infinite limit at infinity4.6 Limits at Infinity and Asymptotes
initial-value problem4.10 Antiderivatives
instantaneous rate of change3.1 Defining the Derivative
integrable function5.2 The Definite Integral
Integral calculus2.1 A Preview of Calculus
integration by substitution5.5 Substitution
Intermediate Value Theorem2.4 Continuity
interval notation1.1 Review of Functions
intuitive definition of the limit2.2 The Limit of a Function
inverse function1.4 Inverse Functions
inverse hyperbolic functions1.5 Exponential and Logarithmic Functions
inverse trigonometric functions1.4 Inverse Functions
iterative process4.9 Newton’s Method
J
jump discontinuity2.4 Continuity
Q
Quotient law for limits2.3 The Limit Laws
V
variable of integration5.2 The Definite Integral
vertical asymptote2.2 The Limit of a Function
vertical line test1.1 Review of Functions
Z
zeroes of functions4.9 Newton’s Method
zeros of a function1.1 Review of Functions