Calculus I Assignment Quiz 2: Finding Derivatives, Exercises of Calculus

The solution to problem 3 of calculus i assignment quiz 2. Students are required to find the derivative of the given function w.r.t. Q using the given formula. The solution involves applying the chain rule and the quotient rule.

Typology: Exercises

2011/2012

Uploaded on 07/13/2012

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Name: SOLUTION Registration Number: SOLUTION
Assignment Quiz No. 2
Calculus-I Section-1
====================================================================
Problem: Find the derivative w.r.t. q of
.
cos
cossin
q
qq
p
Solution:
q
q
q
q
pcos
cos
cos
sin
1tan q
)1(tan q
dq
d
dq
dp
)1()(tan dq
d
q
dq
d
0sec2 q
.sec2q
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Name: SOLUTION Registration Number: SOLUTION

Assignment Quiz No. 2

Calculus-I Section-

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

cos

sin cos

q

q q p

Solution:

q

q

q

q p cos

cos

cos

sin  

 tan q  1

  (tan q  1 ) dq

d

dq

dp

(tan ) ( 1 ) dq

d q dq

d  

sec 0

2  q

sec.

2  q

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