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I
implicit differentiation 3.8 Implicit Differentiation
increasing on the interval I I 1.1 Review of Functions
indefinite integral 4.10 Antiderivatives
independent variable 1.1 Review of Functions
indeterminate forms 4.8 L’Hôpital’s Rule
infinite discontinuity 2.4 Continuity
infinite limit at infinity 4.6 Limits at Infinity and Asymptotes
infinite limits 2.2 The Limit of a Function
initial-value problem 4.10 Antiderivatives
instantaneous rate of change 3.1 Defining the Derivative
integrable function 5.2 The Definite Integral
Integral calculus 2.1 A Preview of Calculus
integration by substitution 5.5 Substitution
Intermediate Value Theorem 2.4 Continuity
interval notation 1.1 Review of Functions
intuitive definition of the limit 2.2 The Limit of a Function
inverse function 1.4 Inverse Functions
inverse hyperbolic functions 1.5 Exponential and Logarithmic Functions
inverse trigonometric functions 1.4 Inverse Functions
iterative process 4.9 Newton’s Method
J
jump discontinuity 2.4 Continuity
M
Mandelbrot set 4.9 Newton’s Method
mathematical models 1.2 Basic Classes of Functions
Mean Value Theorem 4.4 The Mean Value Theorem
Mean Value Theorem for Integrals 5.3 The Fundamental Theorem of Calculus
method of cylindrical shells. 6.3 Volumes of Revolution: Cylindrical Shells
method of exhaustion 5.1 Approximating Areas
multivariable calculus 2.1 A Preview of Calculus
Q
quadratic function 1.2 Basic Classes of Functions
Quotient law for limits 2.3 The Limit Laws
T
table of values 1.1 Review of Functions
tangent line approximation 4.2 Linear Approximations and Differentials
Tangent Problem 2.1 A Preview of Calculus
theorem of Pappus for volume 6.6 Moments and Centers of Mass
transcendental functions 1.2 Basic Classes of Functions
transformation of a function 1.2 Basic Classes of Functions
trigonometric functions 1.3 Trigonometric Functions
trigonometric identity 1.3 Trigonometric Functions
Z
zeroes of functions 4.9 Newton’s Method
zeros of a function 1.1 Review of Functions
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