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Derivative Rules: 1. Power Rule: (2”) = n d dx Special Case of this: (√T) 4. Quotient Rule: (²) ₁- V n-1 2. Addition/Subtraction Rule: (u±v)'=u'±v' 3. Product Rule: (uv)' = u'v + uv' Given f (x)=√x³ + 5x f'(x) = d dx You do not need to simplify 1 2√x u'v - uv v2

Derivative Rules: 1. Power Rule: (2”) = n d dx Special Case of this: (√T) 4. Quotient Rule: (²) ₁- V n-1 2. Addition/Subtraction Rule: (u±v)'=u'±v' 3. Product Rule: (uv)' = u'v + uv' Given f (x)=√x³ + 5x f'(x) = d dx You do not need to simplify 1 2√x u'v - uv v2

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Derivative Rules: 1. Power Rule: d dx Special Case of this: 4. Quotient Rule: (2³) = (2”) = nan-1 nx 2. Addition/Subtraction Rule: (ut v)' =u'±v 3. Product Rule: (uv)' = u'v + uv' u'v - uv v2 (1) = Given f(x)=√x³ f'(x) = +52 4 (√3)= 2√2 d 1 dx You do not need to simplify
Transcribed Image Text:Derivative Rules: 1. Power Rule: d dx Special Case of this: 4. Quotient Rule: (2³) = (2”) = nan-1 nx 2. Addition/Subtraction Rule: (ut v)' =u'±v 3. Product Rule: (uv)' = u'v + uv' u'v - uv v2 (1) = Given f(x)=√x³ f'(x) = +52 4 (√3)= 2√2 d 1 dx You do not need to simplify
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