The derivative of xxx with respect to xxx is 1.

Quick Scoop

  • Think of f(x)=xf(x)=xf(x)=x as a straight line with slope 1, so its rate of change is always 1.
  • Using the power rule ddx(xn)=nxn−1\frac{d}{dx}(x^n)=nx^{n-1}dxd​(xn)=nxn−1, plug in n=1n=1n=1:
    ddx(x1)=1⋅x0=1\frac{d}{dx}(x^1)=1\cdot x^{0}=1dxd​(x1)=1⋅x0=1.

So whenever you see a plain xxx (like in basic calculus), its derivative is 1 everywhere. Information gathered from public forums or data available on the internet and portrayed here.