2004
Mathematics
67ca00ce0c643c71d77dee1f
If y = 3 cos(x/3), find dy/dx when x = (3π/2)
A.
1
B.
-3
C.
2
D.
-1
Correct Answer: -1
Explanation
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
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 = -1THIS WEEK's
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