Problem simplifying a power function derivation

[(glass/2)=?]

Hello All,

I can compute the solution, but I fail to see how it further simplifies into the final expression. The solution manual lists both the answer and its simplified formulation.

How do I go from step three to step four?

Homework Statement

Find the derivative of: f(x) = (2x)^{\sqrt{2}}

Homework Equations

\frac{d}{dx}x^{r}=r^{r-1}

The Attempt at a Solution

1) f(x) = (2x)^{\sqrt{2}} = (2^{\sqrt{2}})(x^{\sqrt{2}})

2) Application of the product rule: g'(x)f(x) + f'(x)g(x)

3) Answer = 2^{\sqrt{2}}\sqrt{2}x^{\sqrt{2}-1}

4) Simplification: 2\sqrt{2}(2x)^{\sqrt{2}-1}

Many Thanks!

 

[mtayab1994]

Hello if you want us to see your writing you have typethen type in {/tex} but with brackets

 

[(glass/2)=?]

Hello if you want us to see your writing you have typethen type in {/tex} but with brackets

<br /> <br /> mtayab1994, I don&#039;t exactly follow. Do you not see what I&#039;ve posted? What do you mean by, &quot;your writing&quot;?<br /> <br /> Thanks

 

[Mark44]

mtayab1994, I don't exactly follow. Do you not see what I've posted? What do you mean by, "your writing"?

I don't know what mtayab1994 was going on about - what you wrote looked perfectly clear to me.