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Search results for Derivative

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Derivative implicit functions

Derivative implicit functions
, Not Grade Specific,

Implicit differentiation PowerPoint lesson that contrasts explicit and implicit functions, sets out the steps, and works through examples such as x² + y² = 4 and x³ + y³ − 9xy = 0.

Author Maths Support Centre

Rating

Tags Calculus, Diffrentiation, Implicit Function

Derivatives of Inverse Trig Functions – PowerPoint

Derivatives of Inverse Trig Functions – PowerPoint
, Not Grade Specific,

An eighteen-slide calculus deck that recaps the differentiation rules and trig derivatives, states the inverse function theorem, derives the arcsine and arccosine results in full, lists all six inverse trig derivatives and closes with three worked examples.

Author Maths Support Centre

Rating

Tags Calculus, Derivative, Differentiation, Inverse Trigonometric Functions

Derivative of exponential and logarithmic functions

Derivative of exponential and logarithmic functions
, Not Grade Specific,

Exponential and logarithmic derivatives lesson in PowerPoint, deriving the rules for eˣ, aˣ, ln x and logₐ x before applying them to examples like e^(5x−4) and 4x − 5 log₉ x.

Author Maths Support Centre

Rating

Tags Calculus, Derivative, Differentiation, Logarithmic Functions , Exponential Functions

Differentiation: The product rule

Differentiation: The product rule
, Not Grade Specific,

Calculus PowerPoint on the product rule: an 11-slide presentation that derives the rule step by step and then applies it in worked examples.

Author Maths Support Centre

Rating

Tags Calculus, Differentiation, The Product Rule, Derivative Of The Product

Differentiation: The quotient rule

Differentiation: The quotient rule
, Not Grade Specific,

Calculus PowerPoint on the quotient rule, with a step-by-step derivation and worked examples of finding the derivative of one function divided by another.

Author Maths Support Centre

Rating

Tags Calculus, Differentiation, Quotient Rule, Find The Derivative, Differentiation Division Rule

Higher order derivatives

Higher order derivatives
, Not Grade Specific,

Higher order derivatives PowerPoint showing how to find second, third and fourth derivatives, with prime and f^(n)(x) notation and the link between the second derivative and acceleration.

Author Maths Support Centre

Rating

Tags Calculus, Derivative, Second Derivatives, Third Derivatives, Higher Order Derivatives

Introduction to Derivative

Introduction to Derivative
, Not Grade Specific,

PowerPoint lesson introducing the derivative through its limit definition, connecting it to tangent slope and instantaneous rate of change, with four fully worked examples of finding f'(x).

Author Maths Support Centre

Rating

Tags Calculus, Introduction To Derivative Function, Derivative Function