cari dy/dx dari (2-x^{2} )∧{4} (x∧{7} + 3)∧{3}

jawab

y = (2 - x²)⁴ (x⁷+3)³ 

u = (2 - x²)⁴
u' = 4(-2x)(2- x²) ³
u' = -8x (2 - x²)³

v = (x⁷ + 3)³
v' = 3 (7x⁶ )(x⁷ + 3)²
v'= 21x⁶ (x⁷ + 3)²

y = u v
y' = u'v + uv'

y'= - 8x(2-x²)³ (x⁷ +3)³ + ( (2-x²)⁴ (21x⁶)(x⁷+3)²

y' = (x⁷+3)²(2-x²)³ [ 8x(x⁷+3) + (2-x²)(21 x⁶)

y' = (x⁷ +3)²(2 -x²)³ [ 8x⁸+24x + 42x⁶ - 21 x⁸]