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Calculus I Quiz 3 Solution: Finding the Derivative of cot(cos(x + y)), Exercises of Calculus

Chennai Mathematical Institute Calculus

The solution to problem 3 in the calculus i course, where the goal is to find the derivative of the function cot(cos(x + y)) with respect to x. The solution is presented in the document using calculus rules and steps.

Typology: Exercises

2011/2012

Uploaded on 07/20/2012

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Name: SOLUTION Registration Number: SOLUTION

Quiz No. 3

Calculus-I Section-1

====================================================================

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





.)1cos(cot  xy

Solution:





)1cos(cot  xy











1cos)1cos(cos 2 x

xec











11sin)1cos(cos 2 x

xxec









1sin)1cos(cos 2





x

xxec

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Discover Exercises of Calculus Chennai Mathematical Institute

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Download Calculus I Quiz 3 Solution: Finding the Derivative of cot(cos(x + y)) and more Exercises Calculus in PDF only on Docsity!

Name: SOLUTION Registration Number: SOLUTION

Quiz No. 3

Calculus-I Section-

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

y  cot cos( x  1 ).

Solution:

y  cot cos(^ x  1 )

cos cos( 1 ) cos  1 

2    x  dx

d ec x dx

cos cos( 1 ) sin 1   1 

2    x  dx

d ec x x

cos cos( 1 )sin 1

ec x x

Calculus I Quiz 3 Solution: Finding the Derivative of cot(cos(x + y)), Exercises of Calculus

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Partial preview of the text

Download Calculus I Quiz 3 Solution: Finding the Derivative of cot(cos(x + y)) and more Exercises Calculus in PDF only on Docsity!

Quiz No. 3

Calculus-I Section-

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

y  cot cos( x  1 ).

Solution:

y  cot cos(^ x  1 )

cos cos( 1 ) cos  1 

cos cos( 1 ) sin 1   1 

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