For Daily Free Study Material Join wiredfaculty

Name: Wired Faculty - The Best Learning App
Rating: 4.6 (1864 reviews)

Question

$If space straight y equals log square root of fraction numerator 1 plus cos squared straight x over denominator 1 minus straight e squared straight x end fraction end root comma space find space dy over dx$

Solution

Here space straight y equals log open parentheses If space straight y equals log fraction numerator 1 plus cos squared straight x over denominator 1 minus straight e squared straight x end fraction close parentheses to the power of 1 half end exponent therefore space space space space space space straight y equals 1 half log open parentheses fraction numerator 1 plus cos squared straight x over denominator 1 minus straight e squared straight x end fraction close parentheses rightwards double arrow space space space space space space straight y equals 1 half left square bracket log left parenthesis 1 plus cos to the power of straight x right parenthesis minus log left parenthesis 1 minus straight e to the power of 2 straight x end exponent right parenthesis right square bracket therefore space dy over dx equals 1 half open square brackets fraction numerator 1 over denominator 1 plus cos squared straight x end fraction left parenthesis negative 2 cos space straight x space sin space straight x right parenthesis minus fraction numerator 1 over denominator 1 minus straight e to the power of 2 straight x end exponent end fraction left parenthesis negative 2 straight e to the power of 2 straight x end exponent right parenthesis close square brackets space space space space space space space space space space space space space equals 1 half open square brackets fraction numerator negative 2 sin space xcos space straight x over denominator 1 plus cos space straight x end fraction plus fraction numerator 2 straight e 2 straight x over denominator 1 minus straight e to the power of 2 straight x end exponent end fraction close square brackets therefore space dy over dx equals negative fraction numerator sin space xcos space straight x over denominator 1 plus cos squared straight x end fraction plus fraction numerator straight e to the power of 2 straight x end exponent over denominator 1 minus straight e to the power of 2 straight x end exponent end fraction

For Daily Free Study Material Join wiredfaculty

Continuity And Differentiability

$If space straight y equals log square root of fraction numerator 1 plus cos squared straight x over denominator 1 minus straight e squared straight x end fraction end root comma space find space dy over dx$

Some More Questions From Continuity and Differentiability Chapter

Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation

Phone Number

Email Address

Location