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Derivatives 3-Calculus-Quiz Solution, Exercises of Calculus

Chennai Mathematical Institute Calculus

Prof. Maitreya Sawhney took quiz for Calculus during class at Chennai Mathematical Institute. This is solution he provided latter. It includes: Derivative, Variables, First, Order, Division, Rule, Change, Respect, Time

Typology: Exercises

2011/2012

Uploaded on 07/20/2012

saen.chumi 🇮🇳

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Name: SOLUTION Registration Number: SOLUTION

Quiz No. 3

Calculus-I Section-4

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

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









.1sin1tan 2 xy

Solution:









1sin1tan 2 xy











1sin11sin1sec 222  x

dx

d

x

dx

dy











11cos1sin1sec 2222  x

dx

d

xx











1

12

1

.1cos1sin1sec 2

2

222 



 x

dx

d

x

xx







x

xx 2.

12

1

.1cos1sin1sec 2

222

















.

1

1cos1sin1sec

2

222





x

xxx

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Discover Exercises of Calculus Chennai Mathematical Institute

Partial preview of the text

Download Derivatives 3-Calculus-Quiz Solution 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  tan  1 sin  x^2  1 .

Solution:

y  tan  1 sin  x^2  1 

sec  1 sin  1   1 sin 1 

2 2 2      x  dx

d x dx

dy

 sec 2  1 sin  2  1  cos 2  1   x^2  1 

dx

d x x

  ^  ^  1 

sec 1 sin 1 cos 1. 2 2

2 2 2  

    x dx

d

x

x x

     x

x

x x. 2 2 1

sec 1 sin 1 cos 1. 2

2 2 2 

sec 1 sin 1 cos 1 2

2 2 2

x

x x x

Derivatives 3-Calculus-Quiz Solution, Exercises of Calculus

Related documents

Partial preview of the text

Download Derivatives 3-Calculus-Quiz Solution 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  tan  1 sin  x^2  1 .

Solution:

y  tan  1 sin  x^2  1 

sec  1 sin  1   1 sin 1 

 sec 2  1 sin  2  1  cos 2  1   x^2  1 

  ^  ^  1 

     x

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