Summary
Summary OCR MEI Mathematics: Year 1 (AS) Pure - Differentiation Cheat Sheet
- Course
- Institution
This document briefly summarises the key points in the Year 1 'Differentiation' topic of OCR's Mathematics (MEI) course.
[Show more]
1 review
By: tsmith3553 • 1 year ago
Seller
Follow
JodbyBerundi
Reviews received
Content preview
DifferentiationWhat is Differentiation?
● Part of calculus
● Process of finding the gradient of a curve at any point on the curve
● Finds derivative (the gradient function)
dy
dx
Basic Rules of Differentiation
● The derivative of xn is nxn−1
● The derivative of k xn is k nxn−1
● The derivative of a constant is 0
● The derivative of a sum (or difference) is the sum (or difference) of the
derivatives
● The points where the gradient of a curve is zero are called the stationary
points
Finding Tangents and Normals
● Use differentiation to find the gradient function
● Plug in the desired x-value to find the gradient of the curve at that point
● The gradient of a tangent will be the same
● The gradient of a normal will be the negative reciprocal
Increasing and Decreasing Functions
● If the gradient of a graph is positive, the value of y is increasing
● When the gradient of a graph is negative, the value of y is decreasing
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 or Stuvia-credit 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 JodbyBerundi. Stuvia facilitates payment to the seller.
Will I be stuck with a subscription?
No, you only buy these notes for $3.90. You're not tied to anything after your purchase.
Can Stuvia be trusted?
4.6 stars on Google & Trustpilot (+1000 reviews)
75057 documents were sold in the last 30 days
Founded in 2010, the go-to place to buy study notes for 14 years now