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TS EAMCET · Maths · Application of Derivatives

If y=log2sinx, then the minimum value of cosh y is

  1. A 2
  2. B 2e
  3. C e2
  4. D 1
Verified Solution

Answer & Solution

Correct Answer

(D) 1

Step-by-step Solution

Detailed explanation

We know that coshy=ey+e-y2   ...i Let u=ey+e-y2, to find the maximum or minimum value of u, find the points at which dudy=0. We have u=ey+e-y2 ⇒dudy=ey-e-y2 Now dudy=0 ⇒ey-e-y2=0 ⇒ey-1ey=0 ⇒e2y=1 ⇒2y=0 ⇒y=0. Now,…