Most Important Selected Qs for JEE AdvancedMathematicsApplication of Derivatives

If the function f(x)=2 x^3-(8-a) x^2+ (a^2+ 16 9 ) x-12 has a local minima at some x R⁻ , then find the number of integers in the range of a .

Correct answer

Step-by-step solution

Since point of minima is negative therefore point of maxima is also negative. Hence, both roots of f^ (x) must be negative and distinct. Sum of the roots 0 Their intersection is , hence no values of a .

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