calculus · worked example

Solve x⁵

Method: power rule. Verified step-by-step solution with our free AI math solver.
Problem

ddx(x5)\frac{d}{dx}(x^5)

Step-by-step solution

  1. Apply the power rule ddx(xn)=nxn−1\frac{d}{dx}(x^n) = n x^{n-1} with n=5n = 5.

  2. Result: 5x5−1=5x45 x^{5-1} = 5x^4.

Answer

5x45x^4

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