Problem of the Week

Updated at Jul 22, 2024 1:12 PM

How can we find the derivative of x3+x{x}^{3}+\sqrt{x}?

Below is the solution.



ddxx3+x\frac{d}{dx} {x}^{3}+\sqrt{x}

1
Use Power Rule: ddxxn=nxn1\frac{d}{dx} {x}^{n}=n{x}^{n-1}.
3x2+x1223{x}^{2}+\frac{{x}^{-\frac{1}{2}}}{2}

Done