Implicit Differentiation

MAC $2311$

Learning Activity #$8$

Logarithmic Differentiation

$2.$ Consider the curve defined by the equation $ysiny=x.$ Find the equation of the tangent line to the curve at the point $(,2).$

$3.$ For the functions $y=f(x)$ implicitly defined by the following equations, find $\frac{d^{2}y}{d{x}^2}.$

$($a$)x^2-y^2=1$

$($b$)ycosy=x-\frac{}{3}$