HSC Science (Electronics) 12th Board ExamMaharashtra State Board
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Solution for If y=e^(ax) ,show that x dy/dx=y logy - HSC Science (Electronics) 12th Board Exam - Mathematics and Statistics

Question

If y=eax ,show that  `xdy/dx=ylogy`

Solution

`y=e^(ax)`

`y=e^(ax) ...............(i)`

`logy=ax..............(ii)`

`dy/dx=ae^(ax)`

`dy/dx=ay`

`xdy/dx=axy `

`xdy/dx=ylogy `

 

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APPEARS IN

 2014-2015 (March) (with solutions)
Question 4.2.4 | 2 marks
Solution for question: If y=e^(ax) ,show that x dy/dx=y logy concept: Derivatives of Implicit Functions. For the courses HSC Science (Electronics), HSC Science (Computer Science), HSC Science (General) , HSC Arts
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