How do you find the derivative of $3/x^4$ ?

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Answer 1 · 2016-02-13T21:31:43

$-12/x^5$

Use the power rule, which states that

$d/dx(ax^n)=anx^(n-1)$

Here, the function $3/x^4$ can be rewritten as $3x^-4$ .

The power rule can now be simply applied:

$d/dx(3x^-4)=3(-4)x^(-4-1)=-12x^-5$

This is also equal to $-12/x^5$ .

How do you find the derivative of 3/x^43/x^4?