Find $\frac{dy}{dx}$ by implicit differentiation.

$\frac{dy}{dx}=$

Complete the following parts. $\frac{dy}{dx}$ must be used for the derivative of $y$ with respect to $x.$

Find

$($a$)\frac{d}{dx}(x^2)=$

$($b$)\frac{d}{dx}(y^5)=$

$($c$)\frac{d}{dx}(e^{2y})=$