HSC Science (General) 12th Board ExamMaharashtra State Board
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Solution for find dy/dx if y=tan^−1 (6x/(1−5x^2)) - HSC Science (General) 12th Board Exam - Mathematics and Statistics

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Question

find dy/dx if `y=tan^-1((6x)/(1-5x^2))`

Solution

Let ` y=tan^-1((6x)/(1-5x^2))`

`=tan^-1((x+5x)/(1-5x^2))`

`y=tan^-1(x)+tan^-1(5x)`

Differentiating w.r.t x

`dy/dx=1/(1+x^2)+1/(1+25x^2)xx5`

`=1/(1+x^2)+5/(1+25x^2)`

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APPEARS IN

 2014-2015 (March) (with solutions)
Question 2.1.3 | 3.00 marks
Solution for question: find dy/dx if y=tan^−1 (6x/(1−5x^2)) concept: Derivative - Derivative of Inverse Function. For the courses HSC Science (General) , HSC Arts, HSC Science (Computer Science), HSC Science (Electronics), HSC Commerce, HSC Commerce (Marketing and Salesmanship)
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