Account
It's free!

User



Login
Register


      Forgot password?
Share
Notifications

View all notifications
Books Shortlist
Your shortlist is empty

Solution - If y=e^(ax) ,show that x dy/dx=y logy - Derivatives of Implicit Functions

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 `

 

Is there an error in this question or solution?

APPEARS IN

2014-2015 (March)
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 Arts, HSC Science (Computer Science), HSC Science (Electronics), HSC Science (General)
S