Question

please help!!!!
find the derivative of
W=Arcsin a / a

Answer 1

do you mean
\(\Large W = \arcsin (x/a)\)

and you want to find its derivative with respect ot x ?

Answer 2

**to x

Answer 3

\[w=\frac{ Arcsin \alpha }{ \alpha}\] its written that way in my book and it asks for its derivative..

Answer 4

do you know quotient rule of derivative?

Answer 5

not really... can you explain it ?

Answer 6

.. is it the the denominator be squared then the multiply the denominator with the derivative of the numerator minus the numerator time the derivative of the denominator...

Answer 7

yes

Answer 8

\(\Large \left[\frac{f(x)}{g(x)}\right]'=\frac{g(x)f'(x)-f(x)g'(x)}{[g(x)]^2}.
\)

Answer 9

i already knew that one.. but my book says that the answer to the problem is zero... i dont get it

Answer 10

in our case,
f(x) = arcsin x
g(x) =x

what is f'(x)
and g'(x)
?

Answer 11

oh

Answer 12

`derivative of a constant is 0.`

so maybe your text book is not asking for the derivative with respect to \(\alpha \)

Answer 13

for any other variable,
W will be a constant,
and the derivative will be = 0

Answer 14

why is it that the W is a constant?

Answer 15

because W is the function of \(\alpha\) only

if \(\alpha\) is NOT a variable,
then W is also not a variable