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(d)/(dx)[x^(3)]=

ddx[x3]= \frac{d}{d x}\left[x^{3}\right]=

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Csc, sec, and cot of special anglesright chevron icon

Full solution

Q. ddx[x3]= \frac{d}{d x}\left[x^{3}\right]=
  1. Apply Power Rule: To find the derivative of x3x^3 with respect to xx, we use the power rule for differentiation. The power rule states that if f(x)=xnf(x) = x^n, then f′(x)=nxn−1f'(x) = nx^{n-1}.
  2. Calculate Derivative: Applying the power rule to x3x^3, we get the derivative as f′(x)=3x3−1=3x2f'(x) = 3x^{3-1} = 3x^2.
  3. Final Result: There is no need to simplify further, as 3x23x^2 is already in its simplest form.

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