Problems dy for the following functions: 1. Find dx 1) y (x-3)(1-x) ax + b (ans.: 4-2) b (ans. : - 2. 2) y= %3D 3x+ 4 y D 2x + 3 (ans. : (2x+ 3 ) (ans.: 9x- -10 3) 4) y= 3x'- 2V +5 3(x - 1), 5) ( ans . : 1 2. 6) y= (2x-1) (3x+2)+ (x-2)2 2 (ans. : (2x - 1)(3x + 2) (30x- 1)- (x - 2) 7) y= In(ln x) 1 (ans.: x.In x (ans.:-tan x) 8) y= In(Cosx) (ans.:3x .Cosx) 30x.Sin(5x +4). (ans.: Cos (5x +4) 9) y= Sinx 10) y= Cos (5x2 +2) 11) y = tan x.sin x (ans.: Sinx + tan x.Secx ) ( ans.: Sec ( Secx ).Secx.tan x) 12) y= tan( Secx) x+1 x- 1) x+ 1 x-1 6. 13) y= Cot .Cot (x-1) x+1 x- 1 (ans.: .Csc Cosx (ans.:- X.Sinx + Cosx 14) y = %3B Sec 2x + 7 15) y= Vtan J2x+7 (ans.: 2/2x+7 Vtan V2x + 7 (ans.: x.Cosxr + 2x.Sinx) 16) y = x.Sinx (ans.: 3/5x Cot 5x (- 17) y = Csc 3 5x 2 Csc 3 5x (ans .:2.Cos (1In x)) 18) y = x[Sin (In x) + Cos (In x)] 10x (ans.: 19) y= Sin (5x²) 1-25x

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter9: Solving Quadratic Functions
Section: Chapter Questions
Problem 31CR
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Topic Video
Question
Problems
dy
for the following functions :
dx
1. Find
( ans.:4 - 2)
b.
(ans. :-
1) y (x-3)(1-x)
2)
ax + b
y =
3x + 4
y =
2x +3
3)
(ans .:
(2x + 3)'
(ans. : 9x - - 10)
4) y= 3x' - 2x +
3(x-1))
5)
y =
(ans . :
1
6) y=(2x-1) (3x+2)' +
(x- 2)?
(ans. : (2x - 1)(3x + 2)
(30x-1)-
(x- 2)
1
7) y= In(ln x)
(ans.:
8) y= In(Cosx)
x.In x
(ans.:-tan x)
(ans.: 3x.Cosx)
30x.Sin(5x+4),
9)
y= Sinx
10) y= Cos (5x² +2)
(ans.:
Cos (5x2
+4)
(ans.: Sinx + tan x.Secx )
11)
y = tan x. sin x
y = tan( Secx)
x+ 1
12)
( ans. : Sec ( Secx ).Secx .tan x)
6
13) y= Cot
x +1
x-1
(ans.:
.Cot
(x- 1)
.Csc'
x-1
x-1
14)
Cosx
y =
(ans.:- X.Sinx + Cosx
y = Vtan 2x +7
Sec2x+ 7
15)
(ans. :
22x+7 tan 2x + 7
(ans .: x.Cosxr + 2x.Sinx)
16) y = x2.Sinx
Cot 5x
17) y = Csc 3,
(ans.:
3/5x
2
y = x[Sin (In x) + Cos (In x)]
Csc 3 5x
(ans .:2.Cos (In x))
18)
10x
19) y= Sin (5x²)
(ans.:
VI- 25x
17
Transcribed Image Text:Problems dy for the following functions : dx 1. Find ( ans.:4 - 2) b. (ans. :- 1) y (x-3)(1-x) 2) ax + b y = 3x + 4 y = 2x +3 3) (ans .: (2x + 3)' (ans. : 9x - - 10) 4) y= 3x' - 2x + 3(x-1)) 5) y = (ans . : 1 6) y=(2x-1) (3x+2)' + (x- 2)? (ans. : (2x - 1)(3x + 2) (30x-1)- (x- 2) 1 7) y= In(ln x) (ans.: 8) y= In(Cosx) x.In x (ans.:-tan x) (ans.: 3x.Cosx) 30x.Sin(5x+4), 9) y= Sinx 10) y= Cos (5x² +2) (ans.: Cos (5x2 +4) (ans.: Sinx + tan x.Secx ) 11) y = tan x. sin x y = tan( Secx) x+ 1 12) ( ans. : Sec ( Secx ).Secx .tan x) 6 13) y= Cot x +1 x-1 (ans.: .Cot (x- 1) .Csc' x-1 x-1 14) Cosx y = (ans.:- X.Sinx + Cosx y = Vtan 2x +7 Sec2x+ 7 15) (ans. : 22x+7 tan 2x + 7 (ans .: x.Cosxr + 2x.Sinx) 16) y = x2.Sinx Cot 5x 17) y = Csc 3, (ans.: 3/5x 2 y = x[Sin (In x) + Cos (In x)] Csc 3 5x (ans .:2.Cos (In x)) 18) 10x 19) y= Sin (5x²) (ans.: VI- 25x 17
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