If y = 3 cos(x/3), find dy/dx when x = (3π/2)
...If y = 3 cos(x/3), find dy/dx when x = (3π/2)
1
-3
2
-1
Correct answer is D
y = 3cos(x/3)
dy/dx = 3x(1/3)x - sin (x/3)
= - sin x/3
But x = 3π/2 ∴ -sin(x/3) = -sin(3π/6)
= -sin (3 * 180)/6
= - sin 90
= -1
In the figure below, /MX/ = 8cm, /XN/ = 12cm, /NZ/ = 4cm and ∠ XMN = ∠ XZY. Calculate /YM/ ...
Solve: - 14 < 34 (3x - 2) < 12...
Find the values of k in the equation 6k2 = 5k + 6...
The figure is a solid with the trapezium PQRS as its uniform cross-section. Find its volume ...
A car is travelling at an average speed of 80km/hr. Its speed in meters per second (m/s) is ...
In the diagram, |QR| = 10m, |SR| = 8m < QPS = 30o, < QRP = 90o and |PS| = x, Find x...
Marks 1 2 3 4 5 Frequency 2y - 2 y - 1 3y - ...
The volume of a cone (s) of height 6cm and base radius 5cm is ...