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Most Important Selected Qs for JEE AdvancedMathematicsApplication of Derivatives

Let f(x) be a thrice differentiable function [a, b] and < ₁ < ₂ < ₃ < ₄ < ₅ < b and if f(a)=f(b)=-2, f ( ₁ )=f ( ₃ )=3, f ( ₂ )=f ( ₄ )=-3, f ( ₅ )=-1 , then what is the minimum number of roots of the equation f(x) f^ (x)+f^ (x) f^ (x)=0 for x [a, b] ?

Correct answer

4

Step-by-step solution

f(x) and f^ (x) may concide s. f(x) f^ (x) has 5 distinct minimum roots d d x (f(x) f^ (x) ) has minimum 4 distinct roots.

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