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TS EAMCET · Maths · Application of Derivatives

If α,β and γ,δ where α<γ are the turning points of fx=2x3-15x2+36x-8, then α-γ-β+δ=

  1. A 0
  2. B -2
  3. C 2
  4. D 1
Verified Solution

Answer & Solution

Correct Answer

(B) -2

Step-by-step Solution

Detailed explanation

Given equation of curve is y=2x3-15x2+36x-8     ...1 To find the turning points of the curve y'=0 ddx2x3-15x2+36x-8=0 6x2-30x+36=0 x2-5x+6=0 x2-3x-2x+6=0 x-3x-2=0 ∴ x=3 or x=2 Substitute x=3 in equation 1 y=233-1532+363-8=19 Substitute x=2 in…