What is derivative of x2
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 Answer
To find the derivative of $x^2$, we use the power rule for differentiation, which states that $\frac{d}{dx}(x^n) = nx^{n-1}$.
Step 1: Identify the function and the exponent.
The function is $f(x) = x^2$.
Here, $n=2$.
Step 2: Apply the power rule.
$$ \frac{d}{dx}(x^2) = 2 \cdot x^{2-1} $$
$$ \frac{d}{dx}(x^2) = 2x^1 $$
$$ \frac{d}{dx}(x^2) = 2x $$
The derivative of $x^2$ is $\boxed{2x}$.