2002
Mathematics
67ca00ce0c643c71d77dee1f
Find the derivative of y=sin2(5x) with respect to x.
A.
10 sin 5x cos 5x
B.
5 sin5x cos 5x
C.
2 sin 5x cos 5x
D.
15 sin 5x cos 5x
Correct Answer: 10 sin 5x cos 5x
Explanation
y=sin2(5x) Let u = sin 5x du/dx=5cos5x ∴y=u2 d/ydu=2u dy/dx=2u. 5 cos 5x = 10u cos 5x = 10 sin 5x cos 5x
y=sin2(5x) Let u = sin 5x du/dx=5cos5x ∴y=u2 d/ydu=2u dy/dx=2u. 5 cos 5x = 10u cos 5x = 10 sin 5x cos 5xTHIS WEEK's
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