Limit, Continuity and Differentiability: JEE Main 2025 Mathematics question

JEE Main 2025 · January, Unspecified (session-level dataset) · Q33

JEE Main 2025January, Unspecified (session-level dataset)MathematicsMediumLimit, Continuity and Differentiability420× since 2002

Let

f(x)=\int_0^{x^2} \frac{t^2-8t+15}{e^t} dt, x \in \mathbb{R}

. Then the numbers of local maximum and local minimum points of

f

, respectively, are:

JEE Main 2025 · January, Unspecified (session-level dataset) · Q33

JEE Main 2025January, Unspecified (session-level dataset)MathematicsMediumLimit, Continuity and Differentiability420× since 2002

Let

f(x)=\int_0^{x^2} \frac{t^2-8t+15}{e^t} dt, x \in \mathbb{R}

. Then the numbers of local maximum and local minimum points of

f

, respectively, are:

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