What is the derivative of x²?

March 15, 2026Mathematics

ScanSolve AI Answer

March 15, 2026

Answer

Step 1: Recall the power rule for differentiation.
The derivative of $x^n$ is $n x^{n-1}$ .

Step 2: Identify $n$ for $f(x) = x^2$ .
Here, $n=2$ .

\frac{d}{dx} [x^2] = 2 x^{2-1}

Step 3: Simplify the exponent.

2 x^{2-1} = 2 x^1

Step 4: Simplify further.

2 x^1 = 2x

Final answer: $\boxed{2x}$

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Recall the power rule for differentiation. The derivative of x^n is n x^n-1.

Asked on March 15, 2026Mathematics

This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

ScanSolve AI AnswerAnswered on March 15, 2026

Step 1: Recall the power rule for differentiation. The derivative of x^n is n x^n-1. Step 2: Identify n for f(x) = x^2. Here, n=2. (d)/(dx) [x^2] = 2 x^2-1 Step 3: Simplify the exponent. 2 x^2-1 = 2 x^1 Step 4: Simplify further. 2 x^1 = 2x Final answer: 2x