The equation f'(x) = \fracg'(x) \cdot h(x) - g(x) \cdot h'(x)(h(x))^2 represents the derivative of a function f(x) that is defined as the quotient of two functions, g(x) and h(x) . This formula is derived from the Quotient Rule in calculus, which is used to find the derivative of a ratio of two differentiable functions. In this formula, g'(x) and h'(x) are the derivatives of the functions g(x) and h(x) , respectively. The numerator combines these derivatives with the original functions, while the denominator squares the function h(x) . This structure helps to ensure that the derivative accurately reflects the rate of change of the quotient \fracg(x)h(x) .