Differentiate. 9x y = - 8 - tan(x) Step 1 We are given the function 9x y = - 8 - tan(x) and need to find the derivative y'. If we let f(x) = 9x and g(x) = 8 - tan(x), we note that the given function is the quotient of the differentiable functions f(x) and g(x). d f ( x ) g ( x ) (( x ) - f( x ) & g ( x ) dx g(x) = g ( x ) g (x) f' ( x ) - f (x) g' (x) y' = g ( x ) To apply this rule, we first find the derivatives of f(x) = 9x and g(x) = 8 - tan(x). f( x) = 9x f' ( x ) = g(x) = 8 - tan(x) 9 ( x ) = Submit Skip (you cannot come back)