Differentiation and Derivatives notes
24 notes by 19 users
This GoConqr page gathers more than 20 notes on Differentiation and Derivatives, from first principles to gradients and second derivatives. They offer university students and school students material for practising differentiation, and teachers ready-made material to use. Choose a note to get started.
Notes
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Graphical Representations of Differentiation Gradients and Tangents The derivative of a function can be interpreted as the gradient of a function at that point. This means that if we were to graph the function, we could use the derivative to find its slope...
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Second Order Derivatives
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What is Differentiation? What is 'Differentiation by first principles'? Differentiation by first principles means using the idea that the deriviative represents the gradient of the curve, rather than rules and tricks, to calculating the...
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Differentiation notes rates of change Differential equations express situations of related rates of change. Formation of differential equations- a differential equation can be set up from a situation when the rate of change is linked...
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MEI OCR: Core 3 Maths
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Differentiation year 1 and 2 GRADIENTS OF A CURVE What is a gradient? A gradient is the measure of how steep a line is (Can be positive if increase or negative if decreasing), it does this by measuring how much you increase in Y by every 1 x you ...
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Calculus
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Mathematics B
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Tangent Lines, Limits, and Continuity Tangent Lines, Limits, and Continuity Tangent Line: A line that touches a curve at exactly one point Limit: A point on graph that the function approaches/gets arbitrarily close to. There can be left and righ...
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Basic Differentiation
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Calculus Assignment Differentiation: The process of calculating a derivative is called differentiation. Use: Derivatives are used to calculate velocity and acceleration, to estimate the rate of spread of a disease, to set levels of...
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LU1 Differentiation - created from Mind Map Derivative of a Function Rules of Functions Differentiation of Exponential, Logarithmic and Trigonometric Functions
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Differentiation overview year 12 - created from Mind Map Finding the gradient function at any point x (gradient of the tangent) Basic e.g. dy/dx Modelling
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MAXIMA AND MINIMA - created from Mind Map MAXIMA LOCAL MAXIMA AND MINIMA FIRST DERIVATIVE TEST FOR LOCAL MAXIMA AND MNIMA
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CONCEPT MAP FOURTH MOMENT - created from Mind Map LOGARÍTMICA DERIVATION CRITERION OF THE FIRST DERIVATIVE CRITERIA OF THE SECOND DERIVATIVE
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MAXIMA AND MINIMA - created from Mind Map MAXIMA LOCAL MAXIMA AND MINIMA FIRST DERIVATIVE TEST FOR LOCAL MAXIMA AND MINIMA
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Untitled substitute into the formula: Now and we have The difference quotient is 13. It is also the slope of the line from b) We substitute and into the formula: Now and and we have c) We substitute and into the formula: Now a...
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An Introduction
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The Definition of the Derivative
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Calculus Section 4.1 - Rates of Change To solve related rates problems: 1. Identify given information 2. Identify the unknown 3. Introduce suggestive notation KEY - Remember that rates of change = derivatives
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Derivative rules
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Rules of Differentiation
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Derivative rules
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Product/Quotient Rule
More Differentiation and Derivatives resources
About differentiation and derivatives notes
GoConqr OriginalDifferentiation and derivatives notes
These user-made notes offer different routes through the unit. Basic Differentiation sets out notation for first and second derivatives alongside the power rule. Differentiation notes brings limits, first principles, graph features and rules together in one resource.
For a visual connection, Graphical Representations of Differentiation covers gradients, tangents, normals and stationary points. Second Order Derivatives includes examples and links second derivatives with displacement, velocity and acceleration.
How to use the notes
Start with Basic Differentiation if you want to review notation and the power rule. Then use Differentiation notes to revisit first principles and other rules. Work through the examples in the notes before moving to a different topic.
When you want to check what you remember, switch to a quiz on the unit page. Flashcards can help you revisit individual rules. Pick a note that matches the part you want to practise.
Frequently asked questions
Which note is a good place to start?
Basic Differentiation is a useful starting point if you want to review notation for first and second derivatives and the power rule. For a broader resource, Differentiation notes brings together limits, first principles, graph features and several differentiation rules.
Do these notes cover graphs and second derivatives?
Yes. Graphical Representations of Differentiation covers gradients, tangents, normals and stationary points. Second Order Derivatives includes examples and connects second derivatives with displacement, velocity and acceleration. Differentiation notes also includes graph features and the second derivative.
Are the notes free to use?
Yes. Every resource listed here is free to open and study without an account. The notes were made by GoConqr users. A free account also lets you save quiz scores and make your own quizzes, mind maps, flashcards and notes.