Use implicit differentiation to find an equation of the tangent line to the curve at the given points. (x2 + y2)2 = 3x2y − y3; (a) (0, −1),
(b) (−1/2, 1/2)

a.

b.

Step-by-step explanation:

We are given that

a.(0,-1)

Differentiate w.r.t x

.....(1)

Substitute x=0 and y=-1 in equation (1)

Point-slope form:

Using the formula

This is required equation of tangent line to the given curve at point (0,-1).

b.(-1/2,1/2)

Substitute the value in equation (1)

Again using point-slope formula

eveidence i thing that

step-by-step explanation: