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Let’s check out your problem:

f(x)=3x^(2)

f(x)=3x2 f(x)=3 x^{2}

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Full solution

Q. f(x)=3x2 f(x)=3 x^{2}
  1. Identify function: Identify the function to differentiate. f(x)=3x2f(x) = 3x^2
  2. Apply power rule: Apply the power rule for differentiation, ddx(axn)=n⋅ax(n−1)\frac{d}{dx}(a x^n) = n \cdot a x^{(n-1)}.\newlinef′(x)=2⋅3x(2−1)=6xf'(x) = 2 \cdot 3x^{(2-1)} = 6x

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