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Calculus I Quiz 2 Solution - Finding Derivatives, Exercises of Calculus

Chennai Mathematical InstituteCalculus

The solution to quiz 2 in the calculus i course, focusing on finding derivatives of functions that include trigonometric terms and exponents. The steps to calculate the derivatives of sin(x)cos(2x) and sec(x), as well as the derivative of tan(x) in terms of sec(x).

Typology: Exercises

2011/2012

Uploaded on 07/20/2012

saen.chumi
saen.chumi 🇮🇳

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Name: SOLUTION Registration Number: SOLUTION
Quiz No. 2
Calculus-I Section-4
====================================================================
Problem: Find the derivative w.r.t. x of
.
sin1
cos
2
x
x
y
Solution:
x
x
y2
sin1
cos
x
x
2
cos
cos
x
cos
1
x
sec
)(sec x
dx
d
dx
dy
.tansec
x
x
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Download Calculus I Quiz 2 Solution - Finding Derivatives and more Exercises Calculus in PDF only on Docsity!

Name: SOLUTION Registration Number: SOLUTION

Quiz No. 2

Calculus-I Section-

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

1 sin

cos

2 x

x y

Solution:

x

x y 2 1 sin

cos

x

x

2 cos

cos 

cos x

sec x

(sec x ) dx

d

dx

dy  

sec x tan x.

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