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f(x)=3x2+4x+1f(x)=3x^2+4x+1

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Full solution

Q. f(x)=3x2+4x+1f(x)=3x^2+4x+1
  1. Apply Power Rule: To find the derivative of f(x)f(x), we need to apply the power rule to each term.\newlineDifferentiate 3x23x^2: 2×3x=6x2 \times 3x = 6x.
  2. Differentiate 3x23x^2: Now differentiate 4x4x: 44.
  3. Differentiate 4x4x: The derivative of a constant, like 11, is 00.
  4. Derivative of Constant: Combine the results to get the derivative of f(x)f(x).f′(x)=6x+4f'(x) = 6x + 4.

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