Use the quotient rule to find the derivative of f(x)/g(x) where f(x)=5x6−16x5−4x4+72x3−3x2−2x+18 and g(x)=42x2+32x+7.
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Lesson Parent:
Problem:
Use the quotient rule to find the derivative of f(x)/g(x) where
f(x)=5x6−16x5−4x4+72x3−3x2−2x+18
and
g(x)=42x2+32x+7
.
Answer:
ddx(fg)={(42x2+32x+7)(30x5−80x4−16x3+216x2−6x−2)−(5x6−16x5−4x4+72x3−3x2−2x+18)(84x+32)}/{(42x2+32x+7)2}.