Correct Answer: Option D

Explanation

y = 3cos(\(\frac{x}{3}\))
\(\frac{dy}{dx}\) = 3x(\(\frac{1}{3}\))x - sin (\(\frac{x}{3}\))
= - sin \(\frac{x}{3}\)
But x = \(\frac{3π}{2}\) ∴ -sin(\(\frac{x}{3}\)) = -sin(\(\frac{3π}{6}\))
= -sin \(\frac{(3 \times 180)}{6}\)
= - sin 90
= -1

There is an explanation video available below.

• what does productivity of grass means and what are they? Answer this

  1 Answers   ·   Agricultural Science   ·   13 hours ago
• what are the recommend text in Economics? Answer this

  1 Answers   ·   Economics   ·   8 hours ago
• a compund microscope by lens of focal length 1cm and 5cm.an object placed 1.2cm from the objective lens if a... Answer this

  1 Answers   ·   Physics   ·   1 day ago