What is the derivative of x squared

April 6, 2026Mathematics

ScanSolve AI Answer

Answer

\text{2x}

Step-by-step solution

3 steps

To find the derivative of $x^2$ , we use the power rule for differentiation, which states that $\frac{d}{dx}(x^n) = nx^{n-1}$ .

Identify the function and the exponent.
The function is $f(x) = x^2$ .
The exponent is $n=2$ .
Apply the power rule.
$\frac{d}{dx}(x^n) = nx^{n-1}$
Substitute $n=2$ :
$\frac{d}{dx}(x^2) = 2x^{2-1}$
Simplify the expression.
$\frac{d}{dx}(x^2) = 2x^1$ $\frac{d}{dx}(x^2) = 2x$
The derivative of $x^2$ is $\boxed{\text{2x}}$ .

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