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Most Important Selected Qs for JEE AdvancedMathematicsApplication of Derivatives

Find the smallest integral value of P for which the function f(x)=6 P x-P 4 x-5 x- 3 x is monotonic increasing and has no critical point on R

Correct answer

5

Step-by-step solution

aligned & f^ (x)=6 P-4 P 4 x-5-3 3 x 0 & 2 P 5+3 3 x 3-2 4 x & 2 P value of 5+3 3 x 3-2 4 x & 2 P 5+3 3-2 & P 4 aligned Smallest P is 5

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