1/ Find dy/dx

by implicit differentiation.

x² 6xy + y² = 6

y' =

2/ Find dy/dx

by implicit differentiation.

y cos(x) = 2x² + 3y²

y' =

3/ Find dy/dx by implicit differentiation.

x sin(y) + y sin(x) = 2

y' =

4/ Differentiate the function.

y = ln(|6 + t t³|)

y' =

5/ Differentiate the function.

f(x) = ln(289 sin²(x))

f '(x) =

6/ Differentiate the function.

y = lne^x + xe^x

y' =