Please help solving this

[Canopus]

Hello Dear, I need to show that both of them are equal.

Thank you!

 

[Deleted member 4993]

Hello Dear, I need to show that both of them are equal. Thank you!

Did you post the complete problem? As written, "show that both of them are equal" does not make sense. Please post the complete problem!

In addition:

Please follow the rules of posting in this forum, as enunciated at:

READ BEFORE POSTING

Please share your work/thoughts about this assignment

 

[Canopus]

Hello Dear, thanks for your reply. The two equations are equal but I have to prove they are equal. I just can't get the derivative.

 

[Deleted member 4993]

Hello Dear, thanks for your reply. The two equations are equal but I have to prove they are equal. I just can't get the derivative.

Did you post the COMPLETE problem, as it was given to you - including any and all other instructions?

As written, "show that both of them are equal" does not make sense.

Please post the COMPLETE problem - verbatim!

 

[Canopus]

Thank you for your reply. I swear this is the whole thing that was given to me with no instructions and nothing at all. Anyway, I have shared the same image by WhatsApp to a friend and he solved it in detail for me.

Thank you for your time Mr Khan. You may close this thread.

 

[Dr.Peterson]

Hello Dear, I need to show that both of them are equal.

Thank you!

They are equal IF [MATH]\frac{dy}{dx} = \frac{1+6e^x}{1+2e^x}[/MATH].

What do you know about y?

Or did you insert a y where it doesn't belong, and the problem is really to differentiate [MATH]8e^x(1+2e^x)^2[/MATH] ?

Hello Dear, thanks for your reply. The two equations are equal but I have to prove they are equal. I just can't get the derivative.

By the way, two equations can't be equal. You probably meant, both expressions.

 

[Canopus]

They are equal IF [MATH]\frac{dy}{dx} = \frac{1+6e^x}{1+2e^x}[/MATH].

What do you know about y?

Or did you insert a y where it doesn't belong, and the problem is really to differentiate [MATH]8e^x(1+2e^x)^2[/MATH] ?


By the way, two equations can't be equal. You probably meant, both expressions.

Thank you so much!

 

[Dr.Peterson]

I think you did mean [MATH]\frac{d}{dx}[8e^x(1+2e^x)^2][/MATH], since this does yield the RHS you show.

Did you use the product rule? Show us your work, and we can help you past whatever point caused trouble. It may be the simplification.