Notesale: Turn your study into money

Document Preview

Extracts from the notes are below, to see the PDF you'll receive please use the links above

---

Calculus

Part 1: Differential Calculus

Differential calculus is the branch of calculus that deals with the study of rates of change
...
Derivatives are used to find the rate at which a function is
changing at a given point
...

Limits are used to define derivatives
...

The derivative of a function f(x) is denoted by f'(x) or dy/dx
...


Rules of Differentiation: There are several rules of differentiation that make it easier to find the
derivative of a function
...


Applications of Derivatives: Derivatives have several applications in real-life situations
...


Page 1 of 1

Part 2: Integral Calculus
Integral calculus is the branch of calculus that deals with the study of areas and volumes
...
Integrals are used to find the area under a curve or the volume
of a solid
...
The
antiderivative of a function f(x) is denoted by F(x) or ∫f(x)dx
...
The definite integral of a function f(x) from a to b is denoted by ∫[a,b]f(x)dx
...
These include the power rule, substitution rule, integration by parts, and partial
fractions
...
These include
finding the area under a curve, finding the volume of a solid, and finding the average value of a
function
...


Learn the rules of differentiation and integration, including the power rule, product rule, quotient rule,
chain rule, substitution rule, integration by parts, and partial fractions
...


Use calculus to solve real-life problems, such as finding the velocity and acceleration of an object,
finding the area of a piece of land, or finding the volume of a container
...


Seek help from a tutor or study group if you are struggling with calculus concepts
...


Stay organized by keeping track of your notes, assignments, and exams
...


Work through problems step-by-step, taking the time to understand each step and why it is necessary
...


Practice solving problems under timed conditions to prepare for exams
...


Page 1 of 3

Stay motivated by setting goals for yourself and rewarding yourself when you achieve them
...


Finally, remember that calculus can be challenging, but with hard work and dedication, you can succeed
...
With
persistence and effort, you can achieve your goals in calculus
...
By mastering the basic concepts of calculus and practicing solving problems, you can
develop a solid foundation in this subject and prepare yourself for success in your academic and
professional pursuits

---