Calculus is a branch of mathematics that deals with the study of rates of change and accumulation. It is divided into two main branches: differential calculus, which studies rates of change and slopes of curves, and integral calculus, which studies the accumulation of quantities and the areas under...
Calculus is a branch of mathematics that deals with the study of rates of change and
the accumulation of small changes to determine the properties and behavior of
functions. It involves the study of limits, derivatives, integrals, and differential equations.
Possible questions and answers related to calculus include:
Q: What is a limit in calculus?
A: A limit is a value that a function approaches as the input (or independent variable)
approaches a certain value.
Q: What is a derivative in calculus?
A: A derivative is a measure of the rate at which a function changes with respect to its
input variable.
Q: What is an integral in calculus?
A: An integral is a mathematical operation that calculates the area under a curve or the
accumulation of small changes in a function.
Q: What is the fundamental theorem of calculus?
A: The fundamental theorem of calculus states that differentiation and integration are
inverse operations. In other words, if you differentiate a function and then integrate the
result, you get back the original function.
Q: What is a differential equation in calculus?
A: A differential equation is an equation that relates an unknown function to its
derivatives. It is used to model various physical phenomena such as the growth of
populations, the spread of diseases, and the behavior of electric circuits.
Q: What is the chain rule in calculus?
The benefits of buying summaries with Stuvia:
Guaranteed quality through customer reviews
Stuvia customers have reviewed more than 700,000 summaries. This how you know that you are buying the best documents.
Quick and easy check-out
You can quickly pay through credit card for the summaries. There is no membership needed.
Focus on what matters
Your fellow students write the study notes themselves, which is why the documents are always reliable and up-to-date. This ensures you quickly get to the core!
Frequently asked questions
What do I get when I buy this document?
You get a PDF, available immediately after your purchase. The purchased document is accessible anytime, anywhere and indefinitely through your profile.
Satisfaction guarantee: how does it work?
Our satisfaction guarantee ensures that you always find a study document that suits you well. You fill out a form, and our customer service team takes care of the rest.
Who am I buying these notes from?
Stuvia is a marketplace, so you are not buying this document from us, but from seller francesukhurebor. Stuvia facilitates payment to the seller.
Will I be stuck with a subscription?
No, you only buy these notes for £6.06. You're not tied to anything after your purchase.
