`f(x) = sqrt(x) - 6root(3)(x)` Find the derivative of the function.
kalau | Certified Educator
Rewrite the function with exponents.
`f(x) = x^(1/2)-6x^(1/3)`
Use the power rule to solve.
`f'(x) = 1/2 x^(-1/2)-(1/3)6x^(-2/3)`
Simplify and eliminate the negative fractions by writing them as a fraction.
`f'(x) = 1/(2x^(1/2))-2/x^(2/3)`