Mathematics - Application of Derivative Question with Solution | TestHub

MathematicsApplication of DerivativeMonotonicity-Increasing-DecreasingMedium2 minQB

MathematicsMediumsingle choice

Passage / Comprehension

If f be a twice differentiable function such that f″(x) > 0 ∀ x ∈ R. Let h(x) is defined by h(x) = f(sin²x) + f(cos²x) where |x| < π/2.

$f^{'} (sin^{2} x) < f^{'} (cos^{2} x)$ for $x \in$

Answer:

Solution:

$f^{1} (sin^{2} x) < f^{1} (cos^{2} x) \Rightarrow sin^{2} x < cos^{2} x \Rightarrow tan^{2} x < 1 \Rightarrow x \in (- \frac{π}{4}, \frac{π}{4})$

Stream:JEESubject:MathematicsTopic:Application of DerivativeSubtopic:Monotonicity-Increasing-Decreasing

⏱ 2mℹ️ Source: QB

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