Mathematics

The key is to simplify the fraction before differentiating—split it into separate terms and rewrite roots as exponents. Once you have $f(x)$ in the form of simple power functions, the power rule becomes straightforward. Avoid the quotient rule here; algebraic cleanup first makes the derivative much cleaner.

The key is to simplify the fraction before differentiating—split it into separate terms and rewrite roots as exponents. Once you have $f(x)$ in the form of simple power functions, the power rule becomes straightforward. Avoid the quotient rule here; algebraic cleanup first makes the derivative much cleaner.