TS EAMCET · Maths · Differentiation
If , then
- A
- B
- C
- D
Answer & Solution
Correct Answer
(D)
Step-by-step Solution
Detailed explanation
fx=cos2x1+sin2x⇒fπ4=cos2π41+sin2π4=13 ...(1) ⇒lnfx=lncos2x1+sin2x=2lncosx-ln1+sin2x Differentiating both sides w.r.t. x, ⇒f'xfx=-2sinxcosx-2sinxcosx1+sin2x=-2tanx-sin2x1+sin2x Putting x=π4, ⇒f'π4fπ4=-2-11+12=-83…
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