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Find the derivative of the function by using the Product Rule. Simplify your answer. f(x)=(x⁴ +1)(x⁴ −1)

Find the derivative of the function by using the Product Rule. Simplify your answer. f(x)=(x⁴ +1)(x⁴ −1)
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Find the derivative of the function by using the Product Rule. Simplify your answer. f(x)=(x⁴ +1)(x⁴ −1)

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User Manatttta
by
8.4k points

1 Answer

3 votes

Answer:

Hi,

Explanation:

It is not very cleaver to use the Product Rule!

f(x)=(x^4+1)(x^4-1)=x^8-1\\f'(x)=8x^7\\but:\\f(x)=(x^4+1)(x^4-1)\\f'(x)=4x^3(x^4-1)+(x^4+1)*4x^3=4x^7-4x^3+4x^7+4x^3=8x^7\\

answered
User Kevin Garay
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