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3.2 From the definition (#limitscontinuity, #differentiation) Use the limit defini- tion to compute the derivative of f(x)=x²-3x + 7 at x = 1. Then, use the rules of differentiation to verify your answer.

3.2 From the definition (#limitscontinuity, #differentiation) Use the limit defini- tion to compute the derivative of f(x)=x²-3x + 7 at x = 1. Then, use the rules of differentiation to verify your answer.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Needed 3.2 correctly
3.2 From the definition (#limitscontinuity, #differentiation) Use the limit defini- tion to compute the derivative of f(x) = x² − 3x + 7 at x = 1. Then, use the rules of differentiation to verify your answer. 3.3 Calculations by hand (#differentiation) Consider the functions f(x)=√x and g(x) = cos(x). Compute the derivative with respect to x for each of the following by hand, then check your work using Sage: - (a) f(x)g(x) (b) f(g(x)) (c) g(f(x)) (d) [f(x)]² (e) g([f(x)]²)
Transcribed Image Text:3.2 From the definition (#limitscontinuity, #differentiation) Use the limit defini- tion to compute the derivative of f(x) = x² − 3x + 7 at x = 1. Then, use the rules of differentiation to verify your answer. 3.3 Calculations by hand (#differentiation) Consider the functions f(x)=√x and g(x) = cos(x). Compute the derivative with respect to x for each of the following by hand, then check your work using Sage: - (a) f(x)g(x) (b) f(g(x)) (c) g(f(x)) (d) [f(x)]² (e) g([f(x)]²)
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