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JEE MATHEMATICS MCQ: MAXIMA & MINIMA

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Analyzing +4 | -1
Let f(x)=exsin⁡xf\left( x \right) = {e^x}\sin x, slope of the curve y=f(x)y = f\left( x \right) is maximum at x=ax = a, if ‘a’ equals
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Correct option: C
π2\frac{\pi }{2}
Option C (π2\frac{\pi}{2}) is correct because the slope's derivative is zero and its second derivative is negative at this point, indicating a maximum slope.

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