What is the derivative of $f (x) = - 2 x^{- 3} + x^{2} - 7$ $f(x)=-2x^-3+x^2-7$ ?

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Answer 1 · 2016-01-06T00:20:28

Recalling the power rule, which states that, for $y = x^{n}$ $y=x^n$ , then $y'=n*x^(n-1)$ , we can proceed:

$(df(x))/(dx)=(-3)(-2x^(-4))+2x$

$(df(x))/(dx)=6x^-4+2x$

What is the derivative of f(x)=-2x^-3+x^2-7f(x)=−2x−3+x2−7f(x)=-2x^-3+x^2-7?