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JEE Mains · Maths · STD 12 - 5. continuity and differentiation
Let \(f(1) = -2\) and \(f'(x) \ge 4.2\) for \(1 \le x \le 6\). The possible value of \(f(6)\) lies in the interval
- A \([15,19)\)
- B \(\left( { - \infty ,12} \right)\)
- C \([12, 15)\)
- D \(\left[ {19,\infty } \right)\)
Answer & Solution
Correct Answer
(D) \(\left[ {19,\infty } \right)\)
Step-by-step Solution
Detailed explanation
Given \(f\left( 1 \right) = - 2\) and \(f'\left( x \right) \ge 4.2\) for \(1 \le x \le 6\) Consider \(f'\left( x \right) = \frac{{f\left( {x + h} \right) - f\left( x \right)}}{h}\)…
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