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Find the derivative of (3x^4+4)^4

User Luke B
by
5.1k points

1 Answer

6 votes

So,

Given the function:


f(x)=(3x^4+4)^4

We're going to find its deritative using the chain rule:


f^(\prime)(x)=4(3x^4+4)^3\cdot12x^3

So that's the result.

Simplified, this is:


f^(\prime)(x)=^{}48x^3(3x^4+4)^3

User Quaternion
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4.9k points