Quiz Solution: Derivative of cot(3) w.r.t. x, Exercises of Calculus

The solution to quiz no. 2 in calculus-i, section-3, where the derivative of cot(3) with respect to x is to be found. The solution is presented step by step.

Typology: Exercises

2011/2012

Uploaded on 07/20/2012

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Name: SOLUTION Registration Number: SOLUTION
Quiz No. 2
Calculus-I Section-3
====================================================================
Problem: Find the derivative w.r.t. x of ).3cot(3 xxy
Solution:
)3cot(3 xxy
))3cot(3( xx
dx
d
dx
dy
)3cot()3( x
dx
d
x
dx
d
)3()3(cos3 2x
dx
d
xec
).3(cos33 2xec
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Name: SOLUTION Registration Number: SOLUTION

Quiz No. 2

Calculus-I Section-

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

y  3 x cot( 3 x ).

Solution:

y  3 x cot( 3 x )

( 3 x cot( 3 x )) dx

d

dx

dy   

( 3 ) cot( 3 x ) dx

d x dx

d  

3 cos ( 3 ) ( 3 )

2 x dx

d   ec x

3 3 cos ( 3 ).

2   ec x

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