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Civil Engineering Department Homework3 Homework #3 1. Find the derivative (dy/dx) of the following functions: a) xy = cot xy b) x cos(2x + 3y) = y sin x c) cos y + cot x = xy d) (3xy + 7) = 6y

Civil Engineering Department Homework3 Homework #3 1. Find the derivative (dy/dx) of the following functions: a) xy = cot xy b) x cos(2x + 3y) = y sin x c) cos y + cot x = xy d) (3xy + 7) = 6y

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.6: Additional Trigonometric Graphs
Problem 77E
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+ 170 ll O p A:£9 Assignment 3.pdf > Civil Engineering Department Homework#3 Calculus I Homework #3 1. Find the derivative (dy/dx) of the following functions: a) xy = cotxy b) x cos(2x + 3y) = y sin x c) cos y + cot x = xy d) (3xy + 7) = 6y Find d'y/dx for the following equations: e) xy + y? = 1 O x2/3 + y2/3 = 1 g) x + y* = 16 2. Find the derivative (dy/dx) of the following functions: h) y = 3x - 7x + 21x i) y = (x + 3)(5x - 4x) j) y = 1/(x - 1)(x + x + 2) k) y = sin x. tan x I) y = (sinx + cos x) secx m) y = cos x/tan x - cot x/ secx n) y = 1- cos 3x sin 2x + sin 8x tan 4x 3. Given: y = /(u) und u = g(x), find dy/dx: a) y= cos u, u= -x/3 b) y = tan u, u = 10x – 5 c) y= - sec u, u= x + 7x d) y: u = 10x? + x + 1 (2+1) e) y = u+ cos-2 u, Find d'y/dx for the following t u = TX a) y = sin x? cos 2x b) y = cos (sec? 3x) c) y = x*(x - 1)5 d) y = (1-x/2)
Transcribed Image Text:+ 170 ll O p A:£9 Assignment 3.pdf > Civil Engineering Department Homework#3 Calculus I Homework #3 1. Find the derivative (dy/dx) of the following functions: a) xy = cotxy b) x cos(2x + 3y) = y sin x c) cos y + cot x = xy d) (3xy + 7) = 6y Find d'y/dx for the following equations: e) xy + y? = 1 O x2/3 + y2/3 = 1 g) x + y* = 16 2. Find the derivative (dy/dx) of the following functions: h) y = 3x - 7x + 21x i) y = (x + 3)(5x - 4x) j) y = 1/(x - 1)(x + x + 2) k) y = sin x. tan x I) y = (sinx + cos x) secx m) y = cos x/tan x - cot x/ secx n) y = 1- cos 3x sin 2x + sin 8x tan 4x 3. Given: y = /(u) und u = g(x), find dy/dx: a) y= cos u, u= -x/3 b) y = tan u, u = 10x – 5 c) y= - sec u, u= x + 7x d) y: u = 10x? + x + 1 (2+1) e) y = u+ cos-2 u, Find d'y/dx for the following t u = TX a) y = sin x? cos 2x b) y = cos (sec? 3x) c) y = x*(x - 1)5 d) y = (1-x/2)
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