Derivative of cos(7t) in Calculus-I Assignment Quiz 3, Problem 3, Exercises of Calculus

The solution to problem 3 of assignment quiz 3 in the calculus-i course, where the goal is to find the derivative of the function cos(7t) with respect to the variable t. The solution is presented in the document, which includes the steps to calculate the derivative using the chain rule and product rule.

Typology: Exercises

2011/2012

Uploaded on 07/13/2012

juma.khan
juma.khan 🇮🇳

4

(1)

60 documents

1 / 1

Toggle sidebar

This page cannot be seen from the preview

Don't miss anything!

bg1
Name: SOLUTION Registration Number: SOLUTION
Assignment Quiz No. 3
Calculus-I Section-3
====================================================================
Problem: Find the derivative w.r.t. t of
.)7(cos1
6
13
2ty
Solution:

3
2)7(cos1
6
1ty

)7(cos1)7(cos1
2
12
2
2t
dt
d
t
dt
dy


)7cos()7cos(2.)7(cos1
2
12
2t
dt
d
tt


t
dt
d
ttt 7)7sin().7cos(.)7(cos1 2
2

)7sin()7cos()7(cos17 2
2ttt
docsity.com

Partial preview of the text

Download Derivative of cos(7t) in Calculus-I Assignment Quiz 3, Problem 3 and more Exercises Calculus in PDF only on Docsity!

Name: SOLUTION Registration Number: SOLUTION

Assignment Quiz No. 3

Calculus-I Section-

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

 1 cos ( 7 ).

y   t

Solution:

2 3 1 cos ( 7 ) 6

y   t

 1 cos ( 7 )  1 cos ( 7 )

t dt

d t dt

dy    

 1 cos ( 7 ). 2 cos( 7 ) cos( 7 )

t dt

d   t t

   t 

dt

d 1 cos ( 7 t ) .cos( 7 t ).sin( 7 t ) 7

2 2  

7  1 cos ( 7 ) cos( 7 )sin( 7 )

2 2   t t t

docsity.com