x times the derivative of x^2 — step-by-step solution

⇥Let's differentiate:

\frac{d}{d x} (x^{2})

⇥ⓘ The derivative of x^n is n*x^(n-1):

\frac{d}{d x} (x^{2})

2 x

⇥

2 x

Let's evaluate:

x \cdot 2 \cdot x

ⓘ Multiplying powers with the same base adds the exponents:

x \cdot x

x^{2}

▶Result:

2 x^{2}