2009
Mathematics
67ca00ce0c643c71d77dee1f
If y = 3 cos 4x, dy/dx equals?
A.
6 sin 8x
B.
-24 sin 4x
C.
12 sin 4x
D.
-12 sin 4x
Correct Answer: -12 sin 4x
Explanation
y = 3 cos 4x Applying product rule: dy/dx = udv/dx + vdu/dx Where u = 3 and v = cos 4x du/dx of 3 = 0 and dv/dx of cos 4x = -4sin 4x dy/dx = 3 × -4 sin 4x + cos 4x × 0 dy/dx = -12 sin 4x
y = 3 cos 4x Applying product rule: dy/dx = udv/dx + vdu/dx Where u = 3 and v = cos 4x du/dx of 3 = 0 and dv/dx of cos 4x = -4sin 4x dy/dx = 3 × -4 sin 4x + cos 4x × 0 dy/dx = -12 sin 4xTHIS WEEK's
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