alleryIf f(x) = 3x² + 5x + 7, then f′(x) is:
A6x + 5
B3x + 5
C6x + 7
D3x² + 5
Answer & Solution
Correct answer: A. 6x + 5
1. Apply power rule to each term: d/dx (3x²) = 6x; d/dx (5x) = 5; d/dx (7) = 0.
2. Sum: f′(x) = 6x + 5.
_Source: syllabus Maths Ch 13 §13.4 Derivatives of Polynomials_
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