What is the derivative of x²?

March 15, 2026Mathematics

ScanSolve AI Answer

Answer

2x

4 steps

Recall the power rule for differentiation.
The derivative of $x^n$ is $n x^{n-1}$ .
Identify $n$ for $f(x) = x^2$ .
Here, $n=2$ .
$\frac{d}{dx} [x^2] = 2 x^{2-1}$
Simplify the exponent.
$2 x^{2-1} = 2 x^1$
Simplify further.
$2 x^1 = 2x$
Final answer: $\boxed{2x}$

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