Question

What is the derivative of `f(x)=x^3-x`?

Answer 1

`3x^2-1`

Explanation:

Both of these terms can be differentiated using the`color(blue)" power rule"`

`d/dx(ax^n)=nax^(n-1)`

`f(x)=x^3-x`

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

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