Derivative of x2x^{2}

The calculator will find the derivative of x2x^{2}, with steps shown.

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Your Input

Find ddx(x2)\frac{d}{dx} \left(x^{2}\right).

Solution

Apply the power rule ddx(xn)=nxn1\frac{d}{dx} \left(x^{n}\right) = n x^{n - 1} with n=2n = 2:

(ddx(x2))=(2x){\color{red}\left(\frac{d}{dx} \left(x^{2}\right)\right)} = {\color{red}\left(2 x\right)}

Thus, ddx(x2)=2x\frac{d}{dx} \left(x^{2}\right) = 2 x.

Answer

ddx(x2)=2x\frac{d}{dx} \left(x^{2}\right) = 2 xA