Question 3.31) A) Compute f'(x), f"(x) and f"(x) for f(x)=sin(x). B) Let g(x)=√√9+4x². Evaluate g(2), g'(2), g"(2). C) By observing a pattern that occurs with the first few derivatives of h(x), find h) () for h(x) = sin(√2x). Do not compute all 25 derivatives! Compute a handful and figure out the 25th from there.
Question 3.31) A) Compute f'(x), f"(x) and f"(x) for f(x)=sin(x). B) Let g(x)=√√9+4x². Evaluate g(2), g'(2), g"(2). C) By observing a pattern that occurs with the first few derivatives of h(x), find h) () for h(x) = sin(√2x). Do not compute all 25 derivatives! Compute a handful and figure out the 25th from there.
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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