Derivative

**offahengaway and chips** · June 29th 2009, 08:44 AM

Is this right for the derivative of arcsin(2x)?

= 1/√(1 - 4x²)

**skeeter** · June 29th 2009, 08:47 AM

Originally Posted by offahengaway and chips

Is this right for the derivative of arcsin(2x)?

= 1/√(1 - 4x²)

missing a "2" in the numerator (derivative of 2x)

**offahengaway and chips** · June 29th 2009, 08:50 AM

thanks

**offahengaway and chips** · June 29th 2009, 09:09 AM

is the differential of √(1 - 4x²)

=1/2(1 - 4x²)^-1/2

**Raoh** · June 29th 2009, 09:17 AM

hello

you've forgotten the differential of $1-4x^{2}$

**offahengaway and chips** · June 29th 2009, 09:20 AM

Which is -8x?

**offahengaway and chips** · June 29th 2009, 09:24 AM

While im here can this be simplified?

arcsin(2x)1/2(-8x)^-1/2

**Raoh** · June 29th 2009, 09:34 AM

hello

you mean this : $\frac{asin\left( 2\,x\right) }{4\,\sqrt{2}\,\sqrt{-x}}$ $?$

**offahengaway and chips** · June 29th 2009, 09:39 AM

i mean this

arcsin(2x)[1/2(-8x)^-1/2]

can the above be simplified?

**Raoh** · June 29th 2009, 09:47 AM

try to expand what is in $[$ $]$ ,you'll have the same result,and it's already simplified.
(or probably i went wrong)

**offahengaway and chips** · June 29th 2009, 09:51 AM

thanks

Thread: Derivative