Question:medium
Let \( f(x) = x^2 + bx + 7 \). If \( f'(5) = 2f'\left(\frac{7}{2}\right) \), then the value of \( b \) is:
Let \( f(x) = x^2 + bx + 7 \). If \( f'(5) = 2f'\left(\frac{7}{2}\right) \), then the value of \( b \) is:
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For any quadratic \( ax^2 + bx + c \), the derivative is a linear function. Linear equations are straightforward to solve once you've substituted your known values!
Updated On: May 6, 2026
- \( 4 \)
- \( 3 \)
- \( -4 \)
- \( -3 \)
- \( 2 \)
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The Correct Option is C
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