Derivatives 3-Calculus-Quiz Solution, Exercises of 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
saen.chumi 🇮🇳

4.6

(13)

88 documents

1 / 1

Toggle sidebar

This page cannot be seen from the preview

Don't miss anything!

bg1
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
x
xx 2.
12
1
.1cos1sin1sec 2
222
.
1
1cos1sin1sec
2
222
x
xxx
docsity.com

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      xdx

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

docsity.com