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BITSAT 2011
Exam
BITSAT
Year
2011
Subject
Mathematics
Chapter
Application of Derivatives

BITSAT 2011 · Mathematics · Application of Derivatives

The function (f(x)= x-k x-c), where k and c are constants,...

The function (f(x)=\sin x-k x-c), where kk and cc are constants, decreases always when

Options

  1. Ak>1k > 1
  2. B(k \geq 1)
  3. Ck<1k < 1
  4. D(k \leq 1)

Correct answer

B. (k \geq 1)

Step-by-step solution

Let (f(x)=\sin x-k x-c) where kk and cc are constants. (f^{\prime}(x)=\cos x-k) (\therefore f) decreases if (\cos x \leq k) Thus, (f(x)=\sin x-k x-c) decrease always when (k \geq 1).
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