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AP EAMCET202315 May 2023Evening ShiftMathematicsApplication of DerivativesActual

If (2, a) and (b, 19) are two stationary points of the curve y=2 x^3-15 x^2+36 x+c , then a+b+c=

Options

  1. A-20
  2. B15
  3. C-12
  4. D24

Correct answer

B. 15

Step-by-step solution

Given the function y=2 x^3-15 x^2+36 x+C Now, d y d x =6 x^2-30 x+36 For stationary points, d y d x =06 x^2-3 x+36 (x-2)(x-3)=0 x=2,3 So b=3 19=2 27-15 9+36 3+c c=-8 and a=2 8-15 4+36 2-8 a=16-60+72-8=20 so a+b+c=20+3-8=15

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