Understanding Wolfram's Partial Derivative Widget

[Doctorchaos]

Hello,

Wolfram is giving me the required answer however, the steps it uses I find very confusing. Can anyone share some light on how wolfram achieved the correct answer.

As I am new to this site, I won't be using any code. I am in the process of writing it up on Latex.

Here is the link for wolframs partial derivative widget

http://www.wolframalpha.com/widget/...tep solution&showAssumptions=1&showWarnings=1

However it keeps changing my function, if the exponential appears on the bottom, can you please use this function

(((1)\(y)^(0.5))))(e^((-x^2-4y^2)\(4y))) WITH RESPECT TO Y


Thankyou everyone, it might seem like an elementary question. The bit I don't understand though is where it says factor out the constants. Its not the factor out the constants but, but the differentiation inside that subsection. That's my main problem

 

[Mark44]

Hello,

Wolfram is giving me the required answer however, the steps it uses I find very confusing. Can anyone share some light on how wolfram achieved the correct answer.

As I am new to this site, I won't be using any code. I am in the process of writing it up on Latex.

Here is the link for wolframs partial derivative widget

http://www.wolframalpha.com/widget/...tep solution&showAssumptions=1&showWarnings=1

However it keeps changing my function, if the exponential appears on the bottom, can you please use this function

(((1)\(y)^(0.5))))(e^((-x^2-4y^2)\(4y))) WITH RESPECT TO Y

What does the expression above have to do with the one you entered into Wolframalpha?
The function you entered into WA was
$$ \frac{\sqrt{x}}{e^{\sqrt{x}(y^2 + 4x^2)}}$$

Which one are you asking about?

If it's this one -- (((1)\(y)^(0.5))))(e^((-x^2-4y^2)\(4y))) -- the problem we most often run into is the OP using too few parentheses. Here you are using way too many, which makes what you wrote difficult to read.

In a simpler form, it would be (1/y^.5)e^{((-x2 - 4y2)/(4y)}

LaTeX can be used for complicated expressions, as below:
$$ \frac{1}{y^{1/2}}e^{\frac{-x^2 - 4y^2}{4y}}$$

Thankyou everyone, it might seem like an elementary question. The bit I don't understand though is where it says factor out the constants. Its not the factor out the constants but, but the differentiation inside that subsection. That's my main problem