Problemddx(x4)\frac{d}{dx}(x^4)dxd(x4)Step-by-step solutionApply the power rule: ddx(xn)=nxn−1\frac{d}{dx}(x^n) = n x^{n-1}dxd(xn)=nxn−1.With n=4n = 4n=4: ddx(x4)=4x4−1=4x3\frac{d}{dx}(x^4) = 4 x^{4-1} = 4x^3dxd(x4)=4x4−1=4x3.Answer4x34x^34x3Want to solve a different problem? Open the derivative solver →Related worked examples/solve/calculus/derivative-of-x3-plus-2x