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  1. Quizzes
  2. /A differentiable function has f(1) = 2 and f'(x) ≤ 3 for every x. What is the largest possible value of f(5)?
MathematicsHardHigh School (11–12)Functions and Calculus › Continuity and DifferentiabilityA-LevelAEEE (Amrita)AMUEEEAPAP EAPCETBCECECOMEDK UGETGUJCETIBJCECEJKCETKCETKEAMKIITEELPUNESTMET (Manipal)MHT-CETOJEESRMJEEETS EAPCETUPESEATVITEEE
StemPy LabCreated by StemPy Lab

A differentiable function has f(1)=2f(1) = 2f(1)=2 and f′(x)≤3f'(x) \le 3f′(x)≤3 for every xxx. What is the largest possible value of f(5)f(5)f(5)?

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← Apply the Mean Value Theorem to f(x) = x² + 2x on [0, 4]. What is c?How many real roots does the equation x⁵ + 2x + 1 = 0 have? →
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