Originally Posted by

**TenaciousE** Sorry I don't know how to use the text functions to make it look better >.< Anyway, here is what I have so far.

1)

$\displaystyle y = tan(\sqrt{1-x})$

$\displaystyle y' = .5tan((1-x)^{-.5}) sec^2(1-x)$

$\displaystyle y' = \frac{(sec(1-x))^2)}{2tan(1-x)^{.5}}$

2) I don't remember much at all about implicit differentiation.. I'm having trouble finding the first derivative

$\displaystyle (x^2)(y^3) + 3y^2 = x - 4y

$

$\displaystyle y'((3x^2)(y^2) + 6y + 4) = 1 - 2xy^3$

$\displaystyle

y' = (1 - 2xy^3)/((3x^2)(y^2) + 6y + 4)$

I'm not sure if either of these are actually right, but they don't look right. If the second one is right, the second derivative is going to be ridiculous