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Quanie T
Quanie T asked in Science & MathematicsMathematics · 5 years ago

What's the derivative of 5 sin x cos x?

Update:

Plz include your work, so I can know how to do it in the future. Thanks in advance!

2 Answers

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  • az_lender
    Lv 7
    5 years ago

    A simple way to get it without having to use the "product rule" is to rewrite

    5 sin(x) cos(x) as 2.5 sin(2x).

    Then the derivative is 5 cos(2x).

  • Indikos
    Lv 7
    5 years ago

    use sin(2u) = 2 sin u cos u

    this d(5 sin x cos x)/dx = d(5 sin 2x / 2) /dx = 5 cos(2x) /2*2 = 5 cos(2x)

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