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Which of the Following Functions Are Strictly Decreasing on (0, Pi/2)? - CBSE (Commerce) Class 12 - Mathematics

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Question

Which of the following functions are strictly decreasing on (0, pi/2)?

(A) cos x

(B) cos 2x

(C) cos 3x

(D) tan x

Solution

(A) Let `f_1 (x) =  cos x`

(B) Let `f_2(x) = cos 2x`

(C) Let `f_1(x) =  cos 3x`

Hence, f3 is neither increasing nor decreasing in interval `(0, pi/2)`

Hence, the correct answers are A and B

(D) Let `f_4(x) = tan x`

Hence, the correct answers are A and B.

  Is there an error in this question or solution?

APPEARS IN

 NCERT Solution for Mathematics Textbook for Class 12 (2018 to Current)
Chapter 6: Application of Derivatives
Q: 12 | Page no. 206
Solution Which of the Following Functions Are Strictly Decreasing on (0, Pi/2)? Concept: Increasing and Decreasing Functions.
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