Use the quotient rule for ( frac{f(x)}{g(x)} )
Write the derivative as ( left(frac{f(x)}{g(x)}right)’ = frac{g(x)f'(x) – f(x)g'(x)}{[g(x)]^2} )
Differentiate the numerator (f(x))
Differentiate the denominator (g(x))
Substitute into the quotient rule
Simplify the result
If possible, rewrite the fraction as a product with a negative exponent and use the product rule and power rule
If the denominator is a constant, divide by the constant and differentiate the numerator normally