Sid's Math Notes
Search
CTRL + K
Sid's Math Notes
Search
CTRL + K
Module 2
2.1 - Intro to Limits
2.2 - Limits Involving Infinity
2.3 - Continuity
2.4 - Rates of Change and Tangent Lines
Module 3
3.1 - Alternate Definition of the Derivative
3.2 - Differentiability
3.3 - Basic Derivative Rules
3.4 - Velocity and Other Rates of Change
3.5 - Trig Derivatives
3.6 - The Chain Rule
3.7 - Implicit Differentiation
3.8 - Inverse Derivatives
3.9 - Exponential and Log Derivatives
Unit 3 Formula Sheet - MOST DERIVATIVE STUFF
Module 4
4.1 - Extreme Values of Functions
4.2 - The Mean Value Theorem and Antiderivatives
4.3 - The First and Second Derivative Tests
4.4 - Optimization
4.6 - Related Rates
Module 5
5.1, 5.5 - Estimating With Finite Sums, Trapezoidal Rule
5.2 - Evolution of Integration
5.4 - The Fundamental Theorem of Calculus
Module 6
6.1 - Slope Fields
6.2 - Antidifferentiation by Subsitution
6.4 - Exponential Growth and Decay
Module 7
7.2 - Areas in the Plane
7.3 - Volumes
Basic Derivatives
Differentiability implies continuity
Graphing Derivatives
Home - Sid's Math Notes
IVT For Derivatives
L'Hopital's Rule
Leibniz Notation
Properties of Limits
Separable Differential Equations
The Extreme Value Theorem and Local Extreme Value Theorem
The Intermediate Value Theorem
The Sandwich Theorem
U-Substitution for Integration
Graphing Derivatives
#calc/concept
Sign change in derivatives
If
f
′
changes from
+
to
−
at
x
=
a
, the function
f
has a relative max at
x
=
a
.
If
f
′
changes from
−
to
+
at
x
=
b
, the function
f
has a relative min at
x
=
a
=
b
.
Negative derivative means a decreasing
f
(
x
)
, and vice versa.