IB Mathematics Analysis and Approaches Question Type 1: Implicit Differentiation Exercises

Find $\frac{dy}{dx}$ if $y=xy+x^2$.

Find $\frac{dy}{dx}$ if $\ln (x+y)=xy$.

Find $\frac{dy}{dx}$ if $x^2+xy+y^2=3$.

Find $\frac{dy}{dx}$ given that $x{y}^2+y=\cos (x)$.

Find $\frac{dy}{dx}$ if $e^x+e^y=xy$.

Find $\frac{dy}{dx}$ if $y{e}^x=x$.

Find $\frac{dy}{dx}$ if $x^3+y^3=7xy$.

Find $\frac{dy}{dx}$ if $y^2=xy+1$.

Find $\frac{dy}{dx}$ if $\sin (xy)=x+y$.

Find $\frac{dy}{dx}$ if $x^2+y^2=25$.

Find $\frac{dy}{dx}$ if $y=x-xy\ln (xy)$, where $x>0$, $y>0$.

Find $\frac{dy}{dx}$ if $x^{2}y=1$.