Find the equation of the tangent to the curve

2x^2+y-xy^2-2y^3=4 at the point (-1,1)

2. Consider the function

f

(x) = arcsin

3

x2 +

1

3

:

(a) What is the implied domain of

f(x)?

(b) Use implicit di

erentiation to calculate f'(x)? Why is it different to (a)? (What happens to the graph of f(x) at the points where derivative f'(x) doesnt exist+

f0(x). Make sure you justify the choice of

any

signs.

(c) What is the implied domain of

f0(x)? Why is it di

erent to (a)? (What happens to

the graph of

f(x) at the points where the derivative f0(x) doesn't exist?)