Question

what is the derivative of:
y=sin^-1 x , x = 3/5

Answer 1

\[-\sin ^{-2}x*\cos ^{-1}x\]
that's the derivative but you should use a calculator to find the answer.

Answer 2

You know what the derivative of arcsine is? :)

Answer 3

That's right :D
\[\huge \frac{d}{dx}\sin^{-1}x=\frac{1}{\sqrt{1-x^2}}\]
Now just plug in x = 3/5
and you'll be all set :D

Answer 4

Awesome :)

Answer 5

Yes, pretty much. But I think you won't get as nice an answer. Oh well, that's life, you get the nice things and the not-so-nice things :D

Answer 6

first, we might want to get the derivative of arccos(4x) and I hope you got
\[\huge \frac{d}{dx}\cos^{-1}4x=\frac{-4}{\sqrt{1-x^2}}\]

Answer 7

Now just plug in x = 1/5 :D

Answer 8

\[-4\div2\sqrt{6\div5}\]

Answer 9

Let's do it from the top, instead, because I'm confused ;)
\[\frac{-4}{\sqrt{1-\left(\frac{1}{5}\right)^2}}\]

Answer 10

\[\large \frac{-4}{\sqrt{\frac{25}{25}-\frac{1}{25}}}\]

Answer 11

\[\huge \frac{-4}{\sqrt{\frac{24}{25}}}=\frac{-4\sqrt{25}}{\sqrt{24}}\]

Answer 12

Well, you might consider...
\[\huge \frac{-4(5)}{2\sqrt{6}}\]
and do the cancel stuffs :D

Answer 13

You got it?
Awesome :D

Answer 14

:)