Question

F(x) = (5x-1)³ (3-2x)²
f'(x) = ?

Answer 1

F(x) = (5x-1)³ (3-2x)²
y' = u . v' + u' . v
   = (5x-1)³ . 2(3-2x) + 3(5x-1)² . (3-2x)²
   = (125x³ - 75x² + 15x - 1) . (6 -4x) + (75x² - 30x + 3) (4x²-12x+9)
   = (-500x^4 + 1050x³ - 510x² + 94x - 6) + (525x^4 - 1110x³ + 1056x² -306x +27) 
   = [ 25x^4 - 60x³ +546x² -212x + 21 ]