For f(x)=3x^4, find dy/dx using the definition, dy/dx=limΔx→0 Δy/Δx= limΔx→0 f(x+Δx)−f(x)/Δx. (a) First, evaluate Δy=f(x+Δx)−f(x) and express it in the form Δy=L(x,Δx)⋅Δx. Use dx to represent Δx. Δy= (b) Using the L(x,Δx)Δx above, find the simplified derivative dy/dx= limΔx→0 Δy/Δx. dy/dx= limΔx→0 Δy/Δx=

For f(x)=3x^4, find dy/dx using the definition, dy/dx=limΔx→0 Δy/Δx= limΔx→0 f(x+Δx)−f(x)/Δx. (a) First, evaluate Δy=f(x+Δx)−f(x) and express it in the form Δy=L(x,Δx)⋅Δx. Use dx to represent Δx. Δy= (b) Using the L(x,Δx)Δx above, find the simplified derivative dy/dx= limΔx→0 Δy/Δx. dy/dx= limΔx→0 Δy/Δx=

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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