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Introduction to derivative

Introduction to derivative preview
Introduction to derivative preview
Introduction to derivative video preview 2
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Look Inside · 7 pages

Opening slide introduces the derivative function and states the objective: understand its meaning.
Opening slide and lesson objective
Lesson slide defines derivative and differentiation, citing applications in physics, business, and biology.
Explanation of derivatives and their applications
Definition slide connects tangent slope and instantaneous change to limits and introduces f prime notation.
Limit definition of the derivative function
Worked example 1 uses the limit definition to differentiate f(x) = x³, showing steps that yield f′(x) = 3x².
Worked example 1: derivative of a cubic
Worked example 2 applies the limit definition to f(x) = 2x² − 16x + 35 and derives f′(x) = 4x − 16.
Worked example 2: derivative of a quadratic
Worked example 3 differentiates g(t) = t/(t + 1) using the limit definition, obtaining 1/(t + 1)².
Worked example 3: derivative of a rational function
Worked example 4 uses the limit definition and a conjugate to find the derivative of R(z) = √(5z − 8).
Worked example 4: derivative of a radical function
Attributes
Subject

Math, Calculus

Grades

Grade 12

Types

Teacher Tools, Lesson Plans

File

Microsoft PowerPoint

Editable
No
Author
Maths Support Centre
Rating
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About This Product

PowerPoint presentation, 8 slides explaining to Understand the meaning of derivative function

What's Included

PowerPoint presentation, 8 slides

Resource Tags

calculus introduction to derivative function derivative function

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