Question

I need to get x by itstelf:y= x^3 +3sinx+2cosx

Answer 1

who gave u this problem ?

Answer 2

not possible algebraically

Answer 3

It is a calc 2 problem. My calc is not that strong that is hwy i was a bit confused too. If you guys know anything about inverse functions comment back.

Answer 4

is that the entire problem or you ended up with this while solving some other problem ?

Answer 5

well in addition to that stuff. a=2 and i need to find (f^-1)'(a)

Answer 6

you can use this:
http://en.wikipedia.org/wiki/Inverse_function#Inverses_and_derivatives

\[\frac{dy}{dx} = 3x^2 +3\cos x - 2 \sin x\]
thus
\[\frac{dx}{dy} = (f^{-1})' (y) = \frac{1}{3y^2 +3\cos y -2\sin y}\]