Use implicit differentiation to find the slope of the pretzel curve (x^2-1)^2 = 3y^2+2y^3 at (0.

Use implicit differentiation to find the slope of the pretzel curve (x^2-1)^2 = 3y^2+2y^3 at (0.3,-1.39).Show all work

To find the slope of the curve ( x 2 − 1) 2 = 3 y 2 + 2 y 3 at (0.3 , − 1.39)Differentiating w.r.t. x we get by chain rule −ddydydn2( x 2 − 1) 2 −1 × ( x 2 − 1) = 3 × 2 y 2 −1...