how do u solve a problem that looks like this:
y=cubic root of sin sqx

Question

amistre64 · Answer

you could start by writing it out in a usable manner :)  ....

anonymous · Answer

it is written in a usable manner, im just confused because professor didnt give us any instruction in what to do

amistre64 · Answer

what does this mean:
sin sqx?

anonymous · Answer

sin^2 X, sorry :D

amistre64 · Answer

aha!!  now it looks like something I can use :)

amistre64 · Answer

y = cbrt(sin^2(x))

The "solution" will be all legal "x" values that make the statement true.  It most likely is the graph of the equation.

amistre64 · Answer

The "Domain" is whay we use apply a value to "x"; and as long as we only use what is allowed by the Domain, the equation pops out a solution.

amistre64 · Answer

whay=what...... my keyboard hates me..

anonymous · Answer

thank you, i think i have to use the chain or power rule somehow, but i have problems solving it, bacuase of the sin^2x

amistre64 · Answer

chain rule is good f(g(h(x))) right?   f(x) = cbrt(x); g(x) = x^2; h(x) = sin(x)...

anonymous · Answer

yeah, the problem is i dont know how to get the derivative of cbrt sin^2x.

amistre64 · Answer

sin^2(x) can be a clumsy notation;  it is just a way of writing  (sin(x))^2

amistre64 · Answer

derivative eh..you trying to derive this equation?   that would have been helpful to know :)

anonymous · Answer

awww sorry, i just found out i had to to that.

amistre64 · Answer

rework the equation into exponents; cbrt = ^(1/3)  and sqrt = ^(1/2)

when exponents have exponents; they multiply together..

amistre64 · Answer

sin^2^(1/2)^(1/3) = sin^(1/3); think of this as x^(1/3) and derive

amistre64 · Answer

I get:

(1/3)cos(x) ^(-2/3):

which can be cleaned up some

amistre64 · Answer

1
-------------
3 cbrt(cos^2(x))

Whatcha think about that?

anonymous · Answer

my friend got almost the answer, thank you so much!!!!

amistre64 · Answer

almost the answer?   I wonder what an "almost the answer" looks like :)

anonymous · Answer

he got a 2 instead of 1.. but we are all confused so i'll go with ur answer, thank you

amistre64 · Answer

check my work, by all means, after all..im an idiot in disguise :)  yw!

anonymous · Answer

lolz, yeah im copying what you tyoed and i'm going to check it .. thank you tho