What is the derivative of $-4/x^2$ ?

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Answer 1 · 2015-06-07T15:21:45

One law of exponentials states that $a^-n=1/a^n$ .

Thus, we can rewrite this as $-4x^-2$

Using the power rule, which states that for $y=a^n$ , then $y'=n*a^(n-1)$ ,

$(dy)/(dx)=(-2)(-4x^-3)=8x^-3=8/x^3$

What is the derivative of -4/x^2 -4/x^2?