Implicit Differentiation (College Board AP® Calculus AB): Exam Questions

If $-3x^2+2xy=12$, then when $x=1$, $\frac{dy}{dx}=$

If the equation of a curve is $2x-4xy+2y^2=4$, then at the point (2, 4), $\frac{dy}{dx}$ is

Which of the following is not a valid derivative of $\frac{x^2}{4y^3}=5$?

Which of the following is the equation of the tangent to the curve $x^2+2y^2-4x=8$ at the point $\left(4,2\right)$?

If $\cos \left(2x-y\right)=3x$, $\frac{dy}{dx}=$

$\frac{d}{dx}\left(2x^{\ln x}\right)=$

If $x^4-6x{y}^2+9y=10$, then $\frac{dy}{dx}=$

If $y=\tan \left(xy\right)$, then $\frac{dy}{dx}=$

What can be said about the slope of the line tangent to the curve $x^{2}y+2y^2=2+x^2$ at the point $\left(4,1\right)$

If $y=\arctan \left(x+y\right)$, $\frac{dy}{dx}=$