Considering y as the independent variable and x as the dependent variable, use implicit differentiation to find dy/dx for the equation y sec(x) = 9x tan(y).
a. dy/dx = 9 sec(x) tan(y)
b. dy/dx = 9 sec²(x) tan(y)
c. dy/dx = 9 sec(x) tan²(y)
d. dy/dx = 9 sec(x) / tan(y)
