1. Find the derivative of the following functions. 1 (b) y(t) = Vi (c) y(t) = - (a) y(t) = t %3D

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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1. Find the derivative of the following functions.
(a) y(t) = t
(b) y(t) = Vi
(c) y(t) = 7
(d) y(t) = sin(t)
(g) y(t) = e'
cos(t)
(e) y(t) = cos(t)
(f) y(t) = tan(t)
(h) y(t) = ln(t)
(i) y(t) = tan- (t)
(j) y(t) = te
(k) y(t) :
(1) y(t) = e3t
1+ cos(t)
1 – sin(t)
(m) y(t) = sin(t? + 2t)
(n) y(t)
(0) y(t) = In(5tª + 3t2 + 1)
(p) y(t) = t + ' + e™
Transcribed Image Text:1. Find the derivative of the following functions. (a) y(t) = t (b) y(t) = Vi (c) y(t) = 7 (d) y(t) = sin(t) (g) y(t) = e' cos(t) (e) y(t) = cos(t) (f) y(t) = tan(t) (h) y(t) = ln(t) (i) y(t) = tan- (t) (j) y(t) = te (k) y(t) : (1) y(t) = e3t 1+ cos(t) 1 – sin(t) (m) y(t) = sin(t? + 2t) (n) y(t) (0) y(t) = In(5tª + 3t2 + 1) (p) y(t) = t + ' + e™
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