In $\left( { - 4,\;4} \right)$ the function $f\left( x \right) = \mathop \smallint \nolimits_{ - 10}^x \left( {{t^4} - 4} \right){e^{ - 4t}}\;dt$ has

JEE MATHEMATICS MCQ: MAXIMA & MINIMA

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\left( { - 4,\;4} \right)

the function

f\left( x \right) = \int \nolimits_{ - 10}^x \left( {{t^4} - 4} \right){e^{ - 4t}}\;dt

has

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Correct option: C

Two extrema

Option C (Two extrema) is correct because the derivative of the function has two distinct real roots within the given interval.

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