Test SeriesFree PYQsExamsPricing

JEE Advanced Mathematics question

MathematicsApplication of DerivativesJEE Advanced

Consider the following statements S and R. S: Both and are decreasing functions in . R: If a differentiable function decreases in then its derivative also decreases in . Which of the following is true?

Answer: (D)

Solution

**S:** On , and , so both decrease. S is correct.

**R:** False. A decreasing function only needs ; itself need not decrease. Counter-example from S itself: decreases on but its derivative

See the full step-by-step solution

Create a free account to read the complete working (3 steps), and practise questions like this in a timed test.

Create a free account

Question ID VK-110518