CLAT-SAT-DU LAW Entrance Preparation, Legal Study Material, Law School Exam, Degree Syllabus

become expert | help |
refer a friend - earn nickels!!

Ask iit jee aieee pet cbse icse state board community

Discussion Response Post to: x^sinx w.r.t.(sinx)^x

Forum Index -> Differential Calculus -> View Full Question

originally posted here on IIT-JEE / AIEEE community

Author

Message

8 Dec 2008 17:44:06 IST

Subject: Re:x^sinx w.r.t.(sinx)^x

Srujana (2785)

485 [665 rates]

total posts: 1025
Offline

$y=x^{sin\ x}$

$\frac{dy}{dx}=x^{sin\ x}\left(cos\ x\ log(x)+\frac{sin\ x}{x}\right)$

$z=(sin\ x)^x$

$\frac{dz}{dx}=(sin\ x)^x(x\ cot\ x+log(sin\ x))$

$\frac{dy}{dz}=<br/>\frac{(sin\ x)^x(x\ cot\ x+log(sin\ x))}{x^{sin\ x}\left(cos\ x\ log(x)+\frac{sin\ x}{x}\right)}$

"It does not do to dwell on dreams and forget to live, remember that." ~Albus Dumbledore, Sorcerer's Stone. "It is our choices, Harry, that show what we are, far more than our abilities." ~Albus Dumbledore, Chamber of Secrets. "Understanding is the first step to acceptance, and only with acceptance can there be recovery." ~Albus Dumbledore, Goblet of Fire. "Do not pity the dead Harry, pity the living, and above all, those who live without love." ~Albus Dumbledore, Half Blood Prince.

this reply: 7 points (with 1 Olaaa!! Perrrfect answer.

in 2 votes ) [?]

You have to be logged on to rate