What is the derivative of f(x)=x^3-xf(x)=x3−x?

1 Answer
Jim G.
May 21, 2016

3x^2-13x2−1

Explanation:

Both of these terms can be differentiated using thecolor(blue)" power rule" power rule

d/dx(ax^n)=nax^(n-1)ddx(axn)=naxn−1

f(x)=x^3-xf(x)=x3−x

rArrf'(x)=(3xx1)x^(3-1)-(1xx1)x^(1-1)=3x^2-1

(Noting that x^(1-1)=x^0=1)

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