AP EAMCET20228 Jul 2022Morning ShiftMathematicsApplication of DerivativesActual

The angle between the curve 2 y=e^ -x / 2 and the y -axis is ⁻¹( k ) then k =

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Correct answer

D. 4

Step-by-step solution

= - ....(i) put x =0 using = e ^ - x / 2 aligned & 2 y=1 y= 1 2 & 2 y=e^ -x / 2 2 d y d x =- 1 2 e^ -x / 2 aligned put x=0 dy dx = -1 4 = = ( - )- 1 4 = 1 4 Angle between curve and y -axis - = - ⁻¹ 1 4 aligned & ⁻¹ 1 4 = ⁻¹ 4 & k =4 aligned

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