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Application of Derivatives question

2025 · 22 Jan · Shift 2 · Q40

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JEE Main
Mathematics
Application of Derivatives
2025 · 22 Jan · Shift 2 · Q40

Application of Derivatives question

2025 · 22 Jan · Shift 2 · Q40

JEE MainMathematicsApplication of DerivativesMCQ+4 / −1

Let

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

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

f

, respectively, are :

A
3 and 2
B
2 and 2
C
2 and 3
D
1 and 3

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