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Derivative of sin(2x) tan(5x + b) in Calculus I Quiz 3 Solution, Exercises of Calculus

Chennai Mathematical InstituteCalculus

The solution to quiz no. 3 in the calculus-i course, specifically for finding the derivative of the function f(x) = sin(2x) tan(5x + b) with respect to x. The solution is presented step by step, including the application of the chain rule and the product rule.

Typology: Exercises

2011/2012

Uploaded on 07/20/2012

saen.chumi
saen.chumi 🇮🇳

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Name: SOLUTION Registration Number: SOLUTION
Quiz No. 3
Calculus-I Section-3
====================================================================
Problem: Find the derivative w.r.t. x of
.2sin5tan xy
Solution:

xy 2sin5tan

x
dx
d
x
dx
dy 2sin52sin5sec2

x
dx
d
xx 22cos.2sin5sec2

.2cos.2sin5sec2 2xx
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Download Derivative of sin(2x) tan(5x + b) in Calculus I Quiz 3 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  5 sin 2 x .

Solution:

y tan  5 sin 2 x 

   x 

dx

d x dx

dy sec 5 sin 2 5 sin 2

2    

     x 

dx

d sec 5 sin 2 x .cos 2 x 2

2  

2 sec  5 sin 2 . cos 2 .

2   x x

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