# Problem simplifying a power function derivation

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!

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

Hello if you want us to see your writing you have type[tex] then type in {/tex} but with brackets
mtayab1994, I don't exactly follow. Do you not see what I've posted? What do you mean by, "your writing"?

Thanks

Mark44
Mentor
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.