Calculus • Step-by-Step

Derivative of x³ with Steps

Step-by-step derivative of x³ using the power rule. Shows formula substitution: bringing down the 3 and reducing power to 3x².

Problem Statement

\frac{d}{dx}[x^3]

Final Result

f'(x) = 3 \cdot x^{2}

Formula Required: Power Rule

Bring the power 3 in front as a multiplier and subtract 1 from the power.

\frac{d}{dx}[x^n] = n \cdot x^{n-1}

2 Steps

Set up the differentiation problem with respect to variable $x$.

\frac{d}{dx} \left[ x^{3} \right]

Apply the Power Rule to compute the derivative.

\frac{d}{dx} \left[ x^{3} \right] = 3 \cdot x^{2}

Interactive Calculator

Enter any equation like 2x + 8 = 20 or x² - 5x + 6 = 0 to get step-by-step solutions.

The derivative of x³ is 3x². Applying the power rule: d/dx[x³] = 3·x^(3-1) = 3x².