Use the quotient rule to find the derivative of f(x)/g(x) where f(x)=5x616x54x4+72x33x22x+18
and g(x)=42x2+32x+7.

Problem: 

Use the quotient rule to find the derivative of f(x)/g(x) where
f(x)=5x616x54x4+72x33x22x+18


and
g(x)=42x2+32x+7
.

Answer: 

ddx(fg)={(42x2+32x+7)(30x580x416x3+216x26x2)(5x616x54x4+72x33x22x+18)(84x+32)}/{(42x2+32x+7)2}.