Derivative of x3x^{3}

The calculator will find the derivative of x3x^{3}, with steps shown.

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Your Input

Find ddx(x3)\frac{d}{dx} \left(x^{3}\right).

Solution

Apply the power rule ddx(xn)=nxn1\frac{d}{dx} \left(x^{n}\right) = n x^{n - 1} with n=3n = 3:

(ddx(x3))=(3x2){\color{red}\left(\frac{d}{dx} \left(x^{3}\right)\right)} = {\color{red}\left(3 x^{2}\right)}

Thus, ddx(x3)=3x2\frac{d}{dx} \left(x^{3}\right) = 3 x^{2}.

Answer

ddx(x3)=3x2\frac{d}{dx} \left(x^{3}\right) = 3 x^{2}A