Mathematics - Application of Derivative Question with Solution | TestHub

MathematicsApplication of DerivativeTangents & NormalsMedium2 minQB

MathematicsMediumsingle choice

Passage / Comprehension

Let $f (x) = \frac{e ^{x}}{1 + x ^{2}}$ and $g (x) = f^{'} (x)$

The tangent line of the curve $y = f (x)$ at $x = 2$

Answer:

Solution:

$f^{''} (2) = g^{'} (2) > 0$ , so $f (x)$ is concave upward at $x = 2$ .

Stream:JEESubject:MathematicsTopic:Application of DerivativeSubtopic:Tangents & Normals

⏱ 2mℹ️ Source: QB

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