Final answer:
To find the derivative of the given function f(x) = 18^(3/2) - 8^(1/2), use the power rule of differentiation.
Step-by-step explanation:
To find the derivative of the function f(x) = 18^(3/2) - 8^(1/2), we can use the power rule of differentiation. The power rule states that the derivative of x^n is n*x^(n-1). Applying the power rule to the given function, we get:
f'(x) = (3/2)*18^(1/2) - (1/2)*8^(-1/2) = (3/2)*3*6 - (1/2)*(1/2) = 27 - (1/4) = 26.75.