Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.3: Algebraic Expressions
Problem 40E
Related questions
Question
This is all about basic derivatives and chain rule.
Basic derivatives
1. d/dx(144)
2. d/dx(x⁸)
3.d/dx(x^-10)
4.d/dx(5x¹¹)
5.d/dx(-4x^-4)
6.d/dx(-5x^-3)
7.d/dx(-2⁸√x)
8.d/dx(3/x⁵)
9.d/dx(⁵√3x²)
10.d/dx(5/4 x¹/³)
11.d/dx(2/13x⁴)
12.d/dx(5/13x⁴)
13.y=4x⁵+x
14.y= -1/2x⁴-3x^5/3+2x
15.y=(6x³)(7x⁴)
16.y=(5x^-5 +5)(-2x^5 -3)
17.y=[x+2/x²-3]
18.y=[x-2/x²+3]
Chain rule
1.y=(x³+3)⁵
2.y=(-3x⁵+1)³
3.y=(-5x³-3)³
4.y=(5x²+3)⁴
5.y=⁴√-3x4-2
6.y=√-2x²+1
7.y=³√-2x4+5
8.y=(-x⁴-3)^-2
9.y=(3x²+1)(-4x²-3)⁴
10.y=(x³+4)⁵/(3x⁴-2)
Transcribed Image Text:Function
Answe
1
dz (144)
d
dx
d
3.
dx
d
4.
dz (5x1)
-4x-4)
-5x-)
8.
d
11
dx 13x*
d
12
dx 13x4)
13
y = 4x5 + x
y =-x*-3x5/3 +2x
15
y = (6x³)( 7x*)
16
y (5x-5 +5)(-2x5 - 3)
x + 2
y = [;
17
x - 2
18
y = [-
x² +3
10
14
2.
6
9
Transcribed Image Text:91
4,
Function
y (x³ +3 )5
y (-3x5 +1)3
y (-5x³-3)3
3
y = (5x2 + 3)*
y = V-3x+ – 2
5
y v-2x2 +1
y = V-2x+ + 5
y = (-x* – 3)-2
8.
y (3x2 + 1)(-4x² - 3)4
6.
(x3+4)5
y =
(3x*-2)
10
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