"What is the derivative of x²?"

March 29, 2026Mathematics

ScanSolve AI Answer

Answer

2x

4 steps

Identify the function.
The given function is $f(x) = x^2$ .
Apply the power rule for differentiation.
The power rule states that if $f(x) = x^n$ , then its derivative $f'(x) = nx^{n-1}$ .
In this case, $n=2$ .
Substitute $n=2$ into the power rule.
$\frac{d}{dx}(x^2) = 2 \cdot x^{2-1}$
Simplify the expression.
$2 \cdot x^{2-1} = 2x^1 = 2x$
The derivative of $x^2$ is:
$2x$

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