What is the derivative of x

Mathematics

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Step-by-step solution

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The derivative of xx with respect to xx is 1.

Using the power rule for differentiation, which states that ddx(xn)=nxn−1\frac{d}{dx}(x^n) = nx^{n-1}:

  1. Identify nn.

    In this case, xx is x1x^1, so n=1n=1.

  2. Apply the power rule

    ddx(x1)=1⋅x1−1\frac{d}{dx}(x^1) = 1 \cdot x^{1-1}.

  3. Simplify

    1⋅x0=1⋅1=11 \cdot x^0 = 1 \cdot 1 = 1.

    ddx(x)=1\frac{d}{dx}(x) = 1

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