Simplifying equation in to stages to follow...

Hi Guys,

I'm a little stuck on how on to differentiate when equations involve e and ln. How would I go about differentiating y= e^x^2 ln x for instance ?

Thanks for your help.

Re: Simplifying equation in to stages to follow...

Quote:

Originally Posted by

**Cyclo** Hi Guys,

I'm a little stuck on how on to differentiate when equations involve e and ln. How would I go about differentiating y= e^x^2 ln x for instance ?

Thanks for your help.

Please use parantheses for grouping!

Which one of the following equations do you mean:

y= e^(x^2)*ln (x) ---- >

y= e^((x^2)* ln (x)) ---- >

y= e^(x^(2* ln (x))) ---- >

Re: Simplifying equation in to stages to follow...

Quote:

Originally Posted by

**earboth** Please use parantheses for grouping!

Which one of the following equations do you mean:

**y= e^(x^2)*ln (x) ---- > **
y= e^((x^2)* ln (x)) ---- >

y= e^(x^(2* ln (x))) ---- >

Apologies. I mean the first one.

Re: Simplifying equation in to stages to follow...

Quote:

Originally Posted by

**Cyclo** Apologies. I mean the first one.

Use the product rule:

Can you finish?

Re: Simplifying equation in to stages to follow...

Quote:

Originally Posted by

**Reckoner**
Use the product rule:

Can you finish?

I'm not sure I have the full understanding of the terms, but here goes...

I'll have to read up on how to use the correct math text.

2x*e^xsquared*1/x

Re: Simplifying equation in to stages to follow...

Quote:

Originally Posted by

**Cyclo** I'm not sure I have the full understanding of the terms, but here goes...

I'll have to read up on how to use the correct math text.

2x*e^xsquared*1/x

You can't just take the derivative of one factor and multiply it by the derivative of the other factor. As I said, we have to use this product rule:

So your answer, before simplification, should have two terms.