In Exercises 27–32, find dy/dx.

ln y = e^y sinx

In Exercises 27–32, find dy/dx.

e^(2x)=sin(x+3y)

In Exercises 27–32, find dy/dx.

3+siny = y-x^3

In Exercises 9 and 10, use implicit differentiation to find dy/dx.

9. y^e^x = x^y + 1

Find $dy/dx$ for the equation below using implicit differentiation.

$5x^2+y^3=12$

Find $dy/dx$ for the equation below using implicit differentiation.

$xy=\(\sin\]\left\)(y\(\right\))$

66–71. Higher-order derivatives Find and simplify y''.

x + sin y = y

5–8. Calculate dy/dx using implicit differentiation.

x = y²