Question 63931
A)f(x)= 2/3x^(3/4) + 3/4x^(2/3)+ 5/6x^(2/3)
B) f(x)= 2/5x^(3/2) + 5/6x^(3/4) + 5/6x^(3/2)
C) f(x)= 3/4x^(2/3) +5/6x^(3/2) + 3/4x^(3/2)<br>

A) f'(x) = (2/3 * 3/4)x^(-1/4) + (3/4 * 2/3)x^(-1/3) + (5/6 * 2/3)x^(-1/3)
         = x^(-1/4)/2 + x^(-1/3)/2 + 5x^(1/3)/9
         = 1/(2x^(1/4)) + 1/(2x^(1/3)) + 5/(9x^(1/3))<br>

B) f'(x) = (2/5 * 3/2)x^(1/2) + (5/6 * 3/4)x^(-1/4) + (5/6 * 3/2)x^(1/2)
         = 3x^(1/2)/5 + 5x^(-1/4)/8 + 5x^(1/2)
         = 3x^(1/2)/5 + 5/(8x^(1/4)) + 5x^(1/2)<br>

C) f'(x) = (3/4 * 2/3)x^(-1/3) + (5/6 * 3/2)x^(1/2) + (3/4 * 3/2)x^(1/2)
         = x^(-1/3)/2 + 5x^(1/2)/4 + 9x^(1/2)/8
         = 1/(2x^(1/3)) + 5x^(1/2)/4 + 9x^(1/2)/8