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TS EAMCET · Maths · Application of Derivatives

The equation of the tangent to the curve y=πe-xπ at the point where it crosses y-axis is

  1. A πx+2y=2π
  2. B 2x+πy=π2
  3. C x-y+π=0
  4. D x+y=π
Verified Solution

Answer & Solution

Correct Answer

(D) x+y=π

Step-by-step Solution

Detailed explanation

Given equation of curve y=πe-xπ.....................i Let the point P0,y1, where tangent to curve crosses y-axis. Putting x=0, in equation i, y1=π Differentiate equation i w. r. t. x ddxy=ddxπe-xπ dydx=πe-xπ.-1π dydx0,y1=-1 So, the…