JEE MATHEMATICS MCQ: TANGENTS & NORMALS

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Analyzing +4 | -1

The point in the interval

\;\left[ {0\;,2\pi } \right]

, where

f\left( x \right) = {e^x}\;\sin x\;

has maximum slope, is

View answer and explanation

Correct option: B

\frac{\pi }{2}

Option B (

\frac{\pi}{2}

) is correct because the second derivative of the function is zero at this point, and the third derivative is negative, indicating a maximum slope.

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