Question

Question about whether this function can be differentiated using the power rule.

Answer 1

\[\frac{ 1 }{ \sqrt{5x} }\]

Answer 2

I know that this function can be simplified to \[(5x)^{-\frac{ 1 }{ 2 }}\]

Answer 3

But now, I'm stuck

Answer 4

Then using the power rule, move the power to the front and the reduce the original power by 1

Answer 5

I know, but that doesn't work because the 5 is not a coefficient

Answer 6

It would look like this:
\[-\frac{ 1 }{ 2 } (5x)^\frac{ -3 }{ 2 }\]

Answer 7

Ohh yeah, that is what I thought. So how would I simplify that?

Answer 8

then this:
\[\frac{ -1 }{ 2*\sqrt{5x}^3 }\]

Answer 9

is the cubed inside of the square root?

Answer 10

Yeah that was my mistake, sorry.

Answer 11

Yaay thank you for the help :D
You are actually really smart.

Answer 12

Lol, thanks.