15. If f (x) = (cos(√/z) - In(x2))³, then f'(x) = О А О в О с OD (A) 3(-2;sin(vz) - 2) (B) 3(cos(√z) - In (x2))2 . (- sin(√/z) - +) (C) 3 (cos(√/z) - In (æ2))2 . (zzcos(√x) - 2) (D) 3(cos(√/z) - In(x²))2 . (-z,sin(√æ) - 2)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
15
15. If f(x) = (cos(√) - ln (x²))³, then f'(x) =
O
A
B
C
D
(A) 3(-2sin (√) - ²)²
(B) 3 (cos(√) - In (x²))²-(-sin (√) - )
(C) 3 (cos(√) - In (2²))²(cos(√) - ²)
(D) 3 (cos(√) - In (x²))² (sin(√) - ²)
Transcribed Image Text:15. If f(x) = (cos(√) - ln (x²))³, then f'(x) = O A B C D (A) 3(-2sin (√) - ²)² (B) 3 (cos(√) - In (x²))²-(-sin (√) - ) (C) 3 (cos(√) - In (2²))²(cos(√) - ²) (D) 3 (cos(√) - In (x²))² (sin(√) - ²)
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