What is derivative of x2

Mathematics

ScanSolve AI Answer

Answer

2x

Step-by-step solution

2 steps

To find the derivative of x2x^2, we use the power rule for differentiation, which states that ddx(xn)=nxn−1\frac{d}{dx}(x^n) = nx^{n-1}.

  1. Identify the function and the exponent.

    The function is f(x)=x2f(x) = x^2.
    Here, n=2n=2.

  2. Apply the power rule.

    ddx(x2)=2⋅x2−1\frac{d}{dx}(x^2) = 2 \cdot x^{2-1} ddx(x2)=2x1\frac{d}{dx}(x^2) = 2x^1 ddx(x2)=2x\frac{d}{dx}(x^2) = 2x

    The derivative of x2x^2 is 2x\boxed{2x}.

Was this helpful?

Try one yourself

A new problem that tests the same skill.

Still stuck on this one?

Ask a follow-up, and the answer starts from this question.

Got a different question?Ask your own question