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Derivatives 1-Calculus-Assignment, Exercises of Calculus

University of AllahabadCalculus

Prof. Gangesh Kapadia assigned this task at Allahabad University for Calculus course. It includes: Second, Derivative, Calculus, Problem, Solution, Respect, Time, Section

Typology: Exercises

2011/2012

Uploaded on 07/13/2012

juma.khan
juma.khan 🇮🇳

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Name: SOLUTION Registration Number: SOLUTION
Assignment Quiz No. 2
Calculus-I Section-3
====================================================================
Problem: Find the derivative w.r.t. x of
.cos2sin2cos
2xxxxxy
Solution:
xxxxxy cos2sin2cos
2
)cos2sin2cos( 2xxxxx
dx
d
dx
dy
)(cos2)sin(2)cos( 2x
dx
d
xx
dx
d
xx
dx
d
xxxxxxxx sin2)cossin.1(2)sincos2( 2
.sin
2xx
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Name: SOLUTION Registration Number: SOLUTION

Assignment Quiz No. 2

Calculus-I Section-

Problem: Find the derivative w.r.t. x of

cos 2 sin 2 cos.

2 yx xx xx

Solution:

y x cos x 2 x sin x 2 cos x

2   

( cos 2 sin 2 cos )

2 x x x x x dx

d

dx

dy    

( cos ) 2 ( sin ) 2 (cos ) 2 x dx

d x x dx

d x x dx

d   

( 2 x cos x x sin x ) 2 ( 1 .sin x x cos x ) 2 sin x 2     

sin. 2  x x

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