Test SeriesFree PYQsExamsPricing

JEE Advanced Mathematics question

MathematicsApplication of DerivativesJEE Advanced

If is a twice differentiable function such that , , , and , where , then the minimum number of zeros of in the interval is .

Answer: 6

Solution

Note that . Let , so .

*Zeros of .* By the intermediate value theorem, vanishes at , at some (sign ), at some (sign ), and at .

*Zeros of where .* On ,

See the full step-by-step solution

Create a free account to read the complete working (7 steps), and practise questions like this in a timed test.

Create a free account

Question ID VK-110625