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 is the meaning of agricultural sciences? Answer this

  1 Answers   ·   Agricultural Science   ·   3 days ago
• Does WAEC give Calculator to student for there exam? Answer this

  2 Answers   ·   Mathematics   ·   2 days ago
• 2(3)+2? Answer this

  1 Answers   ·   Mathematics   ·   2 days ago